74:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
M.5.2.1. Graficar vectores en el plano (coordenadas) identificando sus características: dirección, sentido y longitud o norma. :@0.143128:0.954737:0.677153:0.954737:0.677153:0.944695:0.143128:0.944695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.2. Calcular la longitud o norma para establecer la igualdad entre dos vectores.:@0.143128:0.963539:0.501630:0.963539:0.501630:0.953496:0.143128:0.953496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vectores en el plano:@0.404235:0.119113:0.651902:0.119113:0.651902:0.074454:0.404235:0.074454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Denotamos con Π a un plano. Se llama bipunto a todo par ordenado :@0.404238:0.156071:0.895908:0.156071:0.895908:0.139573:0.404238:0.139573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.404238:0.173421:0.410191:0.173421:0.410191:0.156924:0.404238:0.156924:0.000000
A, B:@0.409998:0.173537:0.436941:0.173537:0.436941:0.157068:0.409998:0.157068:0.000000:0.000000:0.000000:0.000000
)   Π  Π. El punto     Π se llama origen y el punto     Π, el ex-:@0.436748:0.173421:0.891780:0.173420:0.891780:0.156922:0.436748:0.156924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.446142:0.172902:0.460795:0.172902:0.460795:0.159528:0.446142:0.159528:0.000000
 :@0.480213:0.172373:0.498356:0.172373:0.498356:0.159939:0.480213:0.159939:0.000000:0.000000
A:@0.578842:0.173536:0.590113:0.173536:0.590113:0.157067:0.578842:0.157067:0.000000
:@0.593537:0.172902:0.608189:0.172902:0.608189:0.159528:0.593537:0.159528:0.000000
B:@0.806427:0.173536:0.815616:0.173536:0.815616:0.157067:0.806427:0.157067:0.000000
:@0.819064:0.172902:0.833717:0.172902:0.833717:0.159528:0.819064:0.159528:0.000000
tremo. Diremos (:@0.404254:0.190771:0.522273:0.190771:0.522273:0.174273:0.404254:0.174273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.522080:0.190887:0.549340:0.190887:0.549340:0.174418:0.522080:0.174418:0.000000:0.000000:0.000000:0.000000
)   Π  Π es el bipunto de origen   y extremo  .:@0.549148:0.190771:0.891264:0.190772:0.891264:0.174274:0.549148:0.174273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.558839:0.190254:0.573492:0.190254:0.573492:0.176880:0.558839:0.176880:0.000000
 :@0.593545:0.189725:0.611688:0.189725:0.611688:0.177291:0.593545:0.177291:0.000000:0.000000
A:@0.790348:0.190888:0.801618:0.190888:0.801618:0.174419:0.790348:0.174419:0.000000
B:@0.879508:0.190888:0.888697:0.190888:0.888697:0.174419:0.879508:0.174419:0.000000
El bipunto (:@0.404238:0.215251:0.487982:0.215251:0.487982:0.198754:0.404238:0.198754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.487789:0.215367:0.515994:0.215367:0.515994:0.198898:0.487789:0.198898:0.000000:0.000000:0.000000:0.000000
) es, en general, distinto del bipunto (:@0.515801:0.215251:0.777943:0.215251:0.777943:0.198754:0.515801:0.198754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B, A:@0.777751:0.215367:0.805433:0.215367:0.805433:0.198898:0.777751:0.198898:0.000000:0.000000:0.000000:0.000000
). De esto se :@0.805283:0.215251:0.895903:0.215251:0.895903:0.198754:0.805283:0.198754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sigue que (:@0.404238:0.232602:0.480160:0.232602:0.480160:0.216104:0.404238:0.216104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.479968:0.232718:0.507602:0.232718:0.507602:0.216249:0.479968:0.216249:0.000000:0.000000:0.000000:0.000000
) = (:@0.507409:0.232602:0.538388:0.232602:0.538388:0.216104:0.507409:0.216104:0.000000:0.000000:0.000000:0.000000:0.000000
B, A:@0.538195:0.232718:0.565311:0.232718:0.565311:0.216249:0.538195:0.216249:0.000000:0.000000:0.000000:0.000000
) si y solo si :@0.565122:0.232602:0.648096:0.232602:0.648096:0.216104:0.565122:0.216104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = B:@0.648271:0.232718:0.687878:0.232718:0.687878:0.216249:0.648271:0.216249:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean :@0.687686:0.232602:0.732371:0.232602:0.732371:0.216104:0.687686:0.216104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.732749:0.232718:0.760963:0.232718:0.760963:0.216249:0.732749:0.216249:0.000000:0.000000:0.000000:0.000000
   Π con  ≠ , al :@0.760963:0.232602:0.895897:0.232601:0.895897:0.216104:0.760963:0.216104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.765483:0.232083:0.780136:0.232083:0.780136:0.218709:0.765483:0.218709:0.000000
A   B:@0.832592:0.232717:0.872885:0.232717:0.872885:0.216248:0.832592:0.216248:0.000000:0.000000:0.000000:0.000000:0.000000
bipunto (:@0.404229:0.249952:0.472948:0.249952:0.472948:0.233454:0.404229:0.233454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.472948:0.250068:0.501748:0.250068:0.501748:0.233599:0.472948:0.233599:0.000000:0.000000:0.000000:0.000000
) se lo representa geométricamente en el plano Π con :@0.501748:0.249952:0.895990:0.249952:0.895990:0.233454:0.501748:0.233454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una flecha que une el punto de origen   con el extremo  . La recta :@0.404229:0.267303:0.895911:0.267303:0.895911:0.250805:0.404229:0.250805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.687424:0.267418:0.698694:0.267418:0.698694:0.250950:0.687424:0.250950:0.000000
B:@0.817520:0.267418:0.826710:0.267418:0.826710:0.250950:0.817520:0.250950:0.000000
AB:@0.407955:0.287912:0.428338:0.287912:0.428338:0.271444:0.407955:0.271444:0.000000:0.000000
 se llama soporte del bipunto (:@0.431042:0.287797:0.649082:0.287797:0.649082:0.271299:0.431042:0.271299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.648893:0.287912:0.676154:0.287912:0.676154:0.271444:0.648893:0.271444:0.000000:0.000000:0.000000:0.000000
).:@0.675961:0.287797:0.684476:0.287797:0.684476:0.271299:0.675961:0.271299:0.000000:0.000000
De la definición de igualdad de pares ordenados, se dirá que los bi-:@0.404244:0.312276:0.891726:0.312276:0.891726:0.295778:0.404244:0.295778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos (:@0.404244:0.329627:0.465334:0.329627:0.465334:0.313129:0.404244:0.313129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.465141:0.329742:0.492864:0.329742:0.492864:0.313274:0.465141:0.313274:0.000000:0.000000:0.000000:0.000000
) y (:@0.492671:0.329627:0.521413:0.329627:0.521413:0.313129:0.492671:0.313129:0.000000:0.000000:0.000000:0.000000:0.000000
C, D:@0.521434:0.329742:0.550891:0.329742:0.550891:0.313274:0.521434:0.313274:0.000000:0.000000:0.000000:0.000000
) son iguales si y solo si :@0.550891:0.329627:0.719383:0.329627:0.719383:0.313129:0.550891:0.313129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = C B = D:@0.719845:0.329742:0.819196:0.329742:0.819196:0.313274:0.719845:0.313274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.761246:0.329627:0.777814:0.329627:0.777814:0.313129:0.761246:0.313129:0.000000:0.000000:0.000000
. Escribire-:@0.819196:0.329627:0.891651:0.329627:0.891651:0.313129:0.819196:0.313129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos (:@0.404224:0.346977:0.445048:0.346977:0.445048:0.330480:0.404224:0.330480:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.444855:0.347093:0.472115:0.347093:0.472115:0.330624:0.444855:0.330624:0.000000:0.000000:0.000000:0.000000
) = (:@0.471923:0.346977:0.502728:0.346977:0.502728:0.330480:0.471923:0.330480:0.000000:0.000000:0.000000:0.000000:0.000000
C, D:@0.502728:0.347093:0.531722:0.347093:0.531722:0.330624:0.502728:0.330624:0.000000:0.000000:0.000000:0.000000
). Su negación se escribe (:@0.531722:0.346977:0.714160:0.346977:0.714160:0.330480:0.531722:0.330480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.713971:0.347093:0.741232:0.347093:0.741232:0.330624:0.713971:0.330624:0.000000:0.000000:0.000000:0.000000
) ≠ (:@0.741039:0.346977:0.771844:0.346977:0.771844:0.330480:0.741039:0.330480:0.000000:0.000000:0.000000:0.000000:0.000000
C, D:@0.771844:0.347093:0.800838:0.347093:0.800838:0.330624:0.771844:0.330624:0.000000:0.000000:0.000000:0.000000
).:@0.800838:0.346977:0.809546:0.346977:0.809546:0.330480:0.800838:0.330480:0.000000:0.000000
Dos bipuntos (:@0.404224:0.371456:0.510297:0.371456:0.510297:0.354959:0.404224:0.354959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.510297:0.371572:0.537952:0.371572:0.537952:0.355103:0.510297:0.355103:0.000000:0.000000:0.000000:0.000000
) y (:@0.537952:0.371456:0.565607:0.371456:0.565607:0.354959:0.537952:0.354959:0.000000:0.000000:0.000000:0.000000:0.000000
C, D:@0.565607:0.371572:0.594426:0.371572:0.594426:0.355103:0.565607:0.355103:0.000000:0.000000:0.000000:0.000000
) tienen la misma dirección si sus soportes :@0.594426:0.371456:0.895924:0.371456:0.895924:0.354959:0.594426:0.354959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son paralelos o coinciden. Además, estos dos bipuntos de la misma :@0.404224:0.388807:0.895901:0.388807:0.895901:0.372309:0.404224:0.372309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dirección pueden ser del mismo sentido o de sentidos contrarios.:@0.404224:0.406158:0.867411:0.406158:0.867411:0.389660:0.404224:0.389660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La longitud de un bipunto (:@0.404224:0.430637:0.602019:0.430637:0.602019:0.414139:0.404224:0.414139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.601828:0.430753:0.629089:0.430753:0.629089:0.414284:0.601828:0.414284:0.000000:0.000000:0.000000:0.000000
) es la distancia  (:@0.628896:0.430637:0.754987:0.430637:0.754987:0.414139:0.628896:0.414139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d A, B:@0.739864:0.430753:0.782055:0.430753:0.782055:0.414284:0.739864:0.414284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
).:@0.781862:0.430637:0.790377:0.430637:0.790377:0.414139:0.781862:0.414139:0.000000:0.000000
Nótese que los bipuntos (:@0.404224:0.455116:0.591654:0.455116:0.591654:0.438618:0.404224:0.438618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.591444:0.455232:0.619533:0.455232:0.619533:0.438763:0.591444:0.438763:0.000000:0.000000:0.000000:0.000000
) y (:@0.619340:0.455116:0.648816:0.455116:0.648816:0.438618:0.619340:0.438618:0.000000:0.000000:0.000000:0.000000:0.000000
B, A:@0.648797:0.455232:0.676943:0.455232:0.676943:0.438763:0.648797:0.438763:0.000000:0.000000:0.000000:0.000000
) tienen la misma dirección, la :@0.676943:0.455116:0.895930:0.455116:0.895930:0.438618:0.676943:0.438618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
misma longitud pero son de sentidos contrarios.:@0.404224:0.472467:0.746909:0.472467:0.746909:0.455969:0.404224:0.455969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los bipuntos (:@0.404224:0.496946:0.504749:0.496946:0.504749:0.480448:0.404224:0.480448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.504749:0.497061:0.531325:0.497061:0.531325:0.480593:0.504749:0.480593:0.000000:0.000000:0.000000:0.000000
) y (:@0.531132:0.496946:0.557774:0.496946:0.557774:0.480448:0.531132:0.480448:0.000000:0.000000:0.000000:0.000000:0.000000
C, D:@0.557774:0.497061:0.586085:0.497061:0.586085:0.480593:0.557774:0.480593:0.000000:0.000000:0.000000:0.000000
) son equipolentes si y solo si los segmentos :@0.586085:0.496946:0.895903:0.496946:0.895903:0.480448:0.586085:0.480448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.404224:0.514296:0.410081:0.514296:0.410081:0.497799:0.404224:0.497799:0.000000
A, B:@0.410081:0.514412:0.437341:0.514412:0.437341:0.497943:0.410081:0.497943:0.000000:0.000000:0.000000:0.000000
] y [:@0.437149:0.514296:0.464968:0.514296:0.464968:0.497799:0.437149:0.497799:0.000000:0.000000:0.000000:0.000000:0.000000
C, D:@0.464968:0.514412:0.493962:0.514412:0.493962:0.497943:0.464968:0.497943:0.000000:0.000000:0.000000:0.000000
] tienen el mismo punto medio.:@0.493962:0.514296:0.719458:0.514296:0.719458:0.497799:0.493962:0.497799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribiremos (:@0.404224:0.538775:0.504912:0.538775:0.504912:0.522278:0.404224:0.522278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B:@0.504912:0.538891:0.532645:0.538891:0.532645:0.522422:0.504912:0.522422:0.000000:0.000000:0.000000:0.000000
) ~ (:@0.532452:0.538775:0.564404:0.538775:0.564404:0.522278:0.532452:0.522278:0.000000:0.000000:0.000000:0.000000:0.000000
C, D:@0.564404:0.538891:0.593870:0.538891:0.593870:0.522422:0.564404:0.522422:0.000000:0.000000:0.000000:0.000000
). En la fi-:@0.593870:0.538775:0.660508:0.538775:0.660508:0.522278:0.593870:0.522278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gura 2.1. se muestran dos bipuntos :@0.404224:0.556126:0.664635:0.556126:0.664635:0.539629:0.404224:0.539629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equipolentes. Obsérvese que el pa-:@0.404224:0.573477:0.660506:0.573477:0.660506:0.556979:0.404224:0.556979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ralelogramo :@0.404224:0.590828:0.493671:0.590828:0.493671:0.574330:0.404224:0.574330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ACDB:@0.495850:0.590943:0.537193:0.590943:0.537193:0.574475:0.495850:0.574475:0.000000:0.000000:0.000000:0.000000
 y los segmentos :@0.537001:0.590828:0.664612:0.590828:0.664612:0.574330:0.537001:0.574330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de recta [:@0.404224:0.608178:0.475988:0.608178:0.475988:0.591681:0.404224:0.591681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, D:@0.475988:0.608294:0.508218:0.608294:0.508218:0.591825:0.475988:0.591825:0.000000:0.000000:0.000000:0.000000
] y [:@0.508218:0.608178:0.539929:0.608178:0.539929:0.591681:0.508218:0.591681:0.000000:0.000000:0.000000:0.000000:0.000000
B, C:@0.539929:0.608294:0.567960:0.608294:0.567960:0.591825:0.539929:0.591825:0.000000:0.000000:0.000000:0.000000
] (diagonales :@0.567979:0.608178:0.664631:0.608178:0.664631:0.591681:0.567979:0.591681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del paralelogramo) se intersectan en :@0.404224:0.625529:0.664650:0.625529:0.664650:0.609032:0.404224:0.609032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el punto  .:@0.404224:0.642880:0.475236:0.642880:0.475236:0.626382:0.404224:0.626382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.468474:0.642996:0.472481:0.642996:0.472481:0.626527:0.468474:0.626527:0.000000
Definición:@0.404224:0.704027:0.484308:0.704027:0.484308:0.687081:0.404224:0.687081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea (:@0.404224:0.728043:0.439056:0.728043:0.439056:0.711546:0.404224:0.711546:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q:@0.439056:0.728159:0.465623:0.728159:0.465623:0.711690:0.439056:0.711690:0.000000:0.000000:0.000000:0.000000
) un bipunto en el plano Π. El conjunto de bipuntos (:@0.465623:0.728043:0.851042:0.728043:0.851042:0.711546:0.465623:0.711546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M, N:@0.851042:0.728159:0.885835:0.728159:0.885835:0.711690:0.851042:0.711690:0.000000:0.000000:0.000000:0.000000
) :@0.885835:0.728043:0.895930:0.728043:0.895930:0.711546:0.885835:0.711546:0.000000:0.000000
equipolentes al bipunto (:@0.404224:0.745394:0.584545:0.745394:0.584545:0.728896:0.404224:0.728896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q:@0.584545:0.745510:0.610669:0.745510:0.610669:0.729041:0.584545:0.729041:0.000000:0.000000:0.000000:0.000000
) es la clase de equivalencia del bipunto :@0.610690:0.745394:0.895849:0.745394:0.895849:0.728896:0.610690:0.728896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.404224:0.764624:0.410177:0.764624:0.410177:0.748127:0.404224:0.748127:0.000000
P, Q:@0.410177:0.764740:0.436128:0.764740:0.436128:0.748271:0.410177:0.748271:0.000000:0.000000:0.000000:0.000000
) denominado vector geométrico :@0.436128:0.764624:0.678213:0.764624:0.678213:0.748127:0.436128:0.748127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PQ:@0.680790:0.764749:0.701095:0.764749:0.701095:0.748280:0.680790:0.748280:0.000000:0.000000
: :@0.705028:0.764633:0.711925:0.764633:0.711925:0.748136:0.705028:0.748136:0.000000:0.000000
{:@0.549590:0.755187:0.558375:0.755187:0.558375:0.730904:0.549590:0.730904:0.000000
}:@0.763650:0.755187:0.772435:0.755187:0.772435:0.730904:0.763650:0.730904:0.000000
(:@0.557857:0.753415:0.563952:0.753415:0.563952:0.732535:0.557857:0.732535:0.000000
):@0.596109:0.753415:0.602203:0.753415:0.602203:0.732535:0.596109:0.732535:0.000000
(:@0.664832:0.753415:0.670927:0.753415:0.670927:0.732535:0.664832:0.732535:0.000000
) (:@0.703084:0.753415:0.730848:0.753415:0.730848:0.732535:0.703084:0.732535:0.000000:0.000000:0.000000
):@0.758081:0.753415:0.764176:0.753415:0.764176:0.732535:0.758081:0.732535:0.000000
=:@0.536473:0.751251:0.546521:0.751251:0.546521:0.735784:0.536473:0.735784:0.000000
∈ ×:@0.604666:0.751251:0.640410:0.751251:0.640410:0.735784:0.604666:0.735784:0.000000:0.000000:0.000000
PQ:@0.512991:0.750756:0.532282:0.750756:0.532282:0.735111:0.512991:0.735111:0.000000:0.000000
MN:@0.565006:0.750756:0.594911:0.750756:0.594911:0.735111:0.565006:0.735111:0.000000:0.000000
MN:@0.671981:0.750756:0.701886:0.750756:0.701886:0.735111:0.671981:0.735111:0.000000:0.000000
PQ:@0.731517:0.750756:0.756481:0.750756:0.756481:0.735111:0.731517:0.735111:0.000000:0.000000
,:@0.579721:0.750646:0.582338:0.750646:0.582338:0.734974:0.579721:0.734974:0.000000
∏ ∏|:@0.616526:0.750646:0.663306:0.750646:0.663306:0.734974:0.616526:0.734974:0.000000:0.000000:0.000000:0.000000
,:@0.686696:0.750646:0.689313:0.750646:0.689313:0.734974:0.686696:0.734974:0.000000
,:@0.741309:0.750646:0.743926:0.750646:0.743926:0.734974:0.741309:0.734974:0.000000
.:@0.773630:0.750646:0.776247:0.750646:0.776247:0.734974:0.773630:0.734974:0.000000
∼:@0.712033:0.751251:0.722081:0.751251:0.722081:0.735784:0.712033:0.735784:0.000000
El conjunto :@0.404238:0.824397:0.491452:0.824397:0.491452:0.807899:0.404238:0.807899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PQ:@0.495513:0.824512:0.515818:0.824512:0.515818:0.808043:0.495513:0.808043:0.000000:0.000000
 tiene una infinidad de bipuntos (:@0.519751:0.824397:0.766944:0.824397:0.766944:0.807899:0.519751:0.807899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M, N:@0.766944:0.824512:0.802604:0.824512:0.802604:0.808043:0.766944:0.808043:0.000000:0.000000:0.000000:0.000000
) equipolen-:@0.802604:0.824397:0.891725:0.824397:0.891725:0.807899:0.802604:0.807899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tes con (:@0.404237:0.841747:0.467716:0.841747:0.467716:0.825250:0.404237:0.825250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q:@0.467716:0.841863:0.494629:0.841863:0.494629:0.825394:0.467716:0.825394:0.000000:0.000000:0.000000:0.000000
). Además, todos los bipuntos (:@0.494610:0.841747:0.721399:0.841747:0.721399:0.825250:0.494610:0.825250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M, N:@0.721399:0.841863:0.756539:0.841863:0.756539:0.825394:0.721399:0.825394:0.000000:0.000000:0.000000:0.000000
) equipolentes con :@0.756539:0.841747:0.895959:0.841747:0.895959:0.825250:0.756539:0.825250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891763:0.841747:0.895905:0.841747:0.895905:0.825250:0.891763:0.825250:0.000000
(:@0.404237:0.859098:0.410190:0.859098:0.410190:0.842600:0.404237:0.842600:0.000000
P, Q:@0.410190:0.859214:0.435466:0.859214:0.435466:0.842745:0.410190:0.842745:0.000000:0.000000:0.000000:0.000000
) son aquellos que tienen la misma dirección, longitud y el mismo :@0.435466:0.859098:0.895846:0.859098:0.895846:0.842600:0.435466:0.842600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sentido que el bipunto (:@0.404237:0.876449:0.575655:0.876449:0.575655:0.859951:0.404237:0.859951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q):@0.575655:0.876564:0.606903:0.876564:0.606903:0.860096:0.575655:0.860096:0.000000:0.000000:0.000000:0.000000:0.000000
. El bipunto (:@0.606903:0.876449:0.697373:0.876449:0.697373:0.859951:0.606903:0.859951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P, Q:@0.697373:0.876564:0.723188:0.876564:0.723188:0.860096:0.697373:0.860096:0.000000:0.000000:0.000000:0.000000
) se llama representante :@0.723134:0.876449:0.895923:0.876449:0.895923:0.859951:0.723134:0.859951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del vector geométrico :@0.404237:0.895679:0.565312:0.895679:0.565312:0.879182:0.404237:0.879182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PQ:@0.567877:0.895801:0.588183:0.895801:0.588183:0.879332:0.567877:0.879332:0.000000:0.000000
.:@0.592116:0.895686:0.594871:0.895686:0.594871:0.879188:0.592116:0.879188:0.000000
Desequilibrio cognitivo:@0.199646:0.210888:0.363493:0.210888:0.363493:0.195415:0.199646:0.195415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿De qué manera las fuerzas :@0.199884:0.239516:0.365276:0.239516:0.365276:0.224453:0.199884:0.224453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
físicas aplicadas sobre un cuerpo :@0.153341:0.255358:0.351664:0.255358:0.351664:0.240295:0.153341:0.240295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se representan con vectores?:@0.153341:0.271200:0.324945:0.271200:0.324945:0.256137:0.153341:0.256137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.102523:0.307805:0.102523:0.307805:0.087051:0.199646:0.087051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué entiendes por :@0.199884:0.131151:0.331297:0.131151:0.331297:0.116088:0.199884:0.116088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
magnitud escalar? ¿Cuál es un :@0.153341:0.146993:0.348887:0.146993:0.348887:0.131930:0.153341:0.131930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, cercano a tu entorno, :@0.153341:0.162835:0.355010:0.162835:0.355010:0.147772:0.153341:0.147772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de magnitud escalar?:@0.153341:0.178677:0.288835:0.178677:0.288835:0.163614:0.153341:0.163614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.828839:0.643226:0.840320:0.643226:0.840320:0.633202:0.828839:0.633202:0.000000
 :@0.840320:0.643934:0.843201:0.643934:0.843201:0.632458:0.840320:0.632458:0.000000
Figura 2.1.:@0.843201:0.643934:0.891769:0.643934:0.891769:0.632458:0.843201:0.632458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.740653:0.548344:0.749762:0.548344:0.749762:0.532019:0.740653:0.532019:0.000000
D:@0.842577:0.548344:0.854112:0.548344:0.854112:0.532019:0.842577:0.532019:0.000000
C:@0.832475:0.624597:0.842425:0.624597:0.842425:0.608272:0.832475:0.608272:0.000000
A:@0.731581:0.624612:0.742754:0.624612:0.742754:0.608286:0.731581:0.608286:0.000000
I:@0.791476:0.578368:0.795449:0.578368:0.795449:0.562042:0.791476:0.562042:0.000000
Competencia :@0.199644:0.293896:0.297267:0.293896:0.297267:0.278424:0.199644:0.278424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.306464:0.283707:0.306464:0.283707:0.290992:0.199644:0.290992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La línea recta en el plano :@0.199880:0.330937:0.364134:0.330937:0.364134:0.315874:0.199880:0.315874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es uno de los conjuntos más :@0.153337:0.346779:0.341636:0.346779:0.341636:0.331716:0.153337:0.331716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sencillos de estudiarse. Recor-:@0.153337:0.362621:0.344330:0.362621:0.344330:0.347558:0.153337:0.347558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demos que los términos punto, :@0.153337:0.378463:0.360124:0.378463:0.360124:0.363400:0.153337:0.363400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta y plano son conceptos :@0.153337:0.394305:0.340247:0.394305:0.340247:0.379242:0.153337:0.379242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primitivos, es decir que no se :@0.153337:0.410147:0.344926:0.410147:0.344926:0.395084:0.153337:0.395084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definen. Además, un axioma de :@0.153337:0.425989:0.361687:0.425989:0.361687:0.410926:0.153337:0.410926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la geometría euclídea establece :@0.153337:0.441831:0.358504:0.441831:0.358504:0.426768:0.153337:0.426768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que dados dos puntos :@0.153337:0.457673:0.302075:0.457673:0.302075:0.442610:0.153337:0.442610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, B :@0.302075:0.457779:0.331274:0.457779:0.331274:0.442742:0.302075:0.442742:0.000000:0.000000:0.000000:0.000000:0.000000
distintos en un plano  , pasa :@0.153337:0.473515:0.344450:0.473515:0.344450:0.458452:0.153337:0.458452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Π:@0.294257:0.473355:0.305146:0.473355:0.305146:0.459009:0.294257:0.459009:0.000000
por dichos puntos una y solo :@0.153352:0.489357:0.346769:0.489357:0.346769:0.474294:0.153352:0.474294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una recta  . :@0.153352:0.505199:0.231733:0.505199:0.231733:0.490136:0.153352:0.490136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.218277:0.505305:0.225436:0.505305:0.225436:0.490268:0.218277:0.490268:0.000000
*Dos vectores fijos :@0.153352:0.525886:0.277024:0.525886:0.277024:0.510823:0.153352:0.510823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.280361:0.526315:0.298705:0.526315:0.298705:0.511493:0.280361:0.511493:0.000000:0.000000
 y :@0.301140:0.525882:0.315846:0.525882:0.315846:0.510819:0.301140:0.510819:0.000000:0.000000:0.000000
CD:@0.318154:0.526171:0.337625:0.526171:0.337625:0.511349:0.318154:0.511349:0.000000:0.000000
  :@0.339825:0.525882:0.347389:0.525882:0.347389:0.510819:0.339825:0.510819:0.000000:0.000000
no nulos son equipolentes si :@0.153336:0.541724:0.342110:0.541724:0.342110:0.526661:0.153336:0.526661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen el mismo módulo, la :@0.153336:0.557566:0.334335:0.557566:0.334335:0.542503:0.153336:0.542503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
misma dirección y el mismo :@0.153336:0.573408:0.338171:0.573408:0.338171:0.558345:0.153336:0.558345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sentido. :@0.153336:0.589250:0.207916:0.589250:0.207916:0.574187:0.153336:0.574187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se designan por :@0.153336:0.609937:0.260246:0.609937:0.260246:0.594874:0.153336:0.594874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.263600:0.610366:0.281944:0.610366:0.281944:0.595544:0.263600:0.595544:0.000000:0.000000
 ~ :@0.284378:0.609932:0.301810:0.609932:0.301810:0.594869:0.284378:0.594869:0.000000:0.000000:0.000000
CD:@0.304117:0.610221:0.323589:0.610221:0.323589:0.595399:0.304117:0.595399:0.000000:0.000000
.:@0.325790:0.609932:0.328305:0.609932:0.328305:0.594869:0.325790:0.594869:0.000000
Competencia :@0.199646:0.635171:0.297269:0.635171:0.297269:0.619699:0.199646:0.619699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.199646:0.647739:0.311604:0.647739:0.311604:0.632267:0.199646:0.632267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende la siguiente :@0.193074:0.672213:0.329539:0.672213:0.329539:0.657150:0.193074:0.657150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simbología matemática: :@0.153338:0.688055:0.311893:0.688055:0.311893:0.672992:0.153338:0.672992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[A, B]: segmento de recta de :@0.153338:0.703897:0.341428:0.703897:0.341428:0.688834:0.153338:0.688834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
extremos   y  .:@0.153338:0.719739:0.253300:0.719739:0.253300:0.704676:0.153338:0.704676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.217399:0.719844:0.250785:0.719844:0.250785:0.704808:0.217399:0.704808:0.000000:0.000000:0.000000
[:@0.153338:0.739145:0.158685:0.739145:0.158685:0.724082:0.153338:0.724082:0.000000
A, B:@0.158685:0.739251:0.184103:0.739251:0.184103:0.724214:0.158685:0.724214:0.000000:0.000000:0.000000:0.000000
[: semirrecta que tiene :@0.184103:0.739145:0.332420:0.739145:0.332420:0.724082:0.184103:0.724082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como punto inicial u origen  :@0.153338:0.754987:0.341147:0.754987:0.341147:0.739924:0.153338:0.739924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.153338:0.770935:0.163628:0.770935:0.163628:0.755898:0.153338:0.755898:0.000000
 y pasa por  .:@0.163628:0.770829:0.249290:0.770829:0.249290:0.755766:0.163628:0.755766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.238384:0.770935:0.246774:0.770935:0.246774:0.755898:0.238384:0.755898:0.000000
L:@0.153338:0.790341:0.160497:0.790341:0.160497:0.775305:0.153338:0.775305:0.000000
AB:@0.160506:0.793227:0.171673:0.793227:0.171673:0.784446:0.160506:0.784446:0.000000:0.000000
: recta que pasa por A y B.:@0.171673:0.790236:0.339284:0.790236:0.339284:0.775173:0.171673:0.775173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.153344:0.809748:0.160503:0.809748:0.160503:0.794711:0.153344:0.794711:0.000000
AB:@0.160506:0.812634:0.171673:0.812634:0.171673:0.803852:0.160506:0.803852:0.000000:0.000000
 || :@0.171673:0.809641:0.188383:0.809641:0.188383:0.794578:0.171673:0.794578:0.000000:0.000000:0.000000:0.000000
L:@0.188383:0.809746:0.195542:0.809746:0.195542:0.794710:0.188383:0.794710:0.000000
CD:@0.195542:0.812634:0.208032:0.812634:0.208032:0.803852:0.195542:0.803852:0.000000:0.000000
: rectas paralelas.:@0.208032:0.809641:0.315155:0.809641:0.315155:0.794578:0.208032:0.794578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d A, B:@0.153345:0.829153:0.192570:0.829153:0.192570:0.814116:0.153345:0.814116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.161718:0.829047:0.167153:0.829047:0.167153:0.813984:0.161718:0.813984:0.000000
): distancia del punto  :@0.192570:0.829047:0.336633:0.829047:0.336633:0.813984:0.192570:0.813984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.153345:0.844995:0.163635:0.844995:0.163635:0.829958:0.153345:0.829958:0.000000
 al punto  .:@0.163635:0.844889:0.236897:0.844889:0.236897:0.829826:0.163635:0.829826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.225992:0.844995:0.234382:0.844995:0.234382:0.829958:0.225992:0.829958:0.000000
Denotamos el vector geométri-:@0.153345:0.864296:0.357794:0.864296:0.357794:0.849233:0.153345:0.849233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
co :@0.153345:0.881141:0.172905:0.881141:0.172905:0.866078:0.153345:0.866078:0.000000:0.000000:0.000000
PQ:@0.172905:0.881247:0.192060:0.881247:0.192060:0.866210:0.172905:0.866210:0.000000:0.000000
 con:@0.192060:0.881141:0.220451:0.881141:0.220451:0.866078:0.192060:0.866078:0.000000:0.000000:0.000000:0.000000
PQ:@0.222759:0.881702:0.241034:0.881702:0.241034:0.866881:0.222759:0.866881:0.000000:0.000000
.:@0.244574:0.881144:0.247089:0.881144:0.247089:0.866080:0.244574:0.866080:0.000000
Ten presente que el vector :@0.153352:0.901553:0.319736:0.901553:0.319736:0.886490:0.153352:0.886490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PQ:@0.321684:0.902113:0.339959:0.902113:0.339959:0.887292:0.321684:0.887292:0.000000:0.000000
 es :@0.343147:0.901555:0.363129:0.901555:0.363129:0.886491:0.343147:0.886491:0.000000:0.000000:0.000000:0.000000
un conjunto que tiene una infini-:@0.153351:0.917397:0.358098:0.917397:0.358098:0.902333:0.153351:0.902333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dad de bipuntos equipolentes.:@0.153351:0.933239:0.341351:0.933239:0.341351:0.918175:0.153351:0.918175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000