142:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Ecuación vectorial de la recta:@0.287495:0.346752:0.581009:0.346752:0.581009:0.325242:0.287495:0.325242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.287495:0.371168:0.327354:0.371168:0.327354:0.354779:0.287495:0.354779:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.329068:0.371247:0.334357:0.371247:0.334357:0.354886:0.329068:0.354886:0.000000
x yz:@0.366347:0.371247:0.417834:0.371247:0.417834:0.354886:0.366347:0.354886:0.000000:0.000000:0.000000:0.000000
0:@0.332943:0.373251:0.338155:0.373251:0.338155:0.363753:0.332943:0.363753:0.000000
0:@0.374615:0.373251:0.379827:0.373251:0.379827:0.363753:0.374615:0.363753:0.000000
0:@0.397021:0.373251:0.402233:0.373251:0.402233:0.363753:0.397021:0.363753:0.000000
0:@0.418540:0.373251:0.423752:0.373251:0.423752:0.363753:0.418540:0.363753:0.000000
:@0.329906:0.360645:0.339507:0.360645:0.339507:0.343897:0.329906:0.343897:0.000000:0.000000
=:@0.344206:0.370838:0.354322:0.370838:0.354322:0.353896:0.344206:0.353896:0.000000
(:@0.357862:0.372632:0.363999:0.372632:0.363999:0.350692:0.357862:0.350692:0.000000
):@0.426855:0.372632:0.432992:0.372632:0.432992:0.350692:0.426855:0.350692:0.000000
,:@0.381996:0.371247:0.385202:0.371247:0.385202:0.354858:0.381996:0.354858:0.000000
,:@0.404404:0.371247:0.407610:0.371247:0.407610:0.354858:0.404404:0.354858:0.000000
 un punto fijo por donde pasa la recta y   un vector director o de :@0.435446:0.371168:0.907701:0.371168:0.907701:0.354779:0.435446:0.354779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514519:0.371168:0.518555:0.371168:0.518555:0.354779:0.514519:0.354779:0.000000
v:@0.722626:0.370792:0.730365:0.370792:0.730365:0.354431:0.722626:0.354431:0.000000
:@0.723621:0.360184:0.731176:0.360184:0.731176:0.343436:0.723621:0.343436:0.000000
dirección :@0.287500:0.387764:0.359553:0.387764:0.359553:0.371375:0.287500:0.371375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.362521:0.387705:0.370261:0.387705:0.370261:0.371344:0.362521:0.371344:0.000000
a bc:@0.396594:0.387705:0.433744:0.387705:0.433744:0.371344:0.396594:0.371344:0.000000:0.000000:0.000000:0.000000
:@0.363516:0.377097:0.371071:0.377097:0.371071:0.360349:0.363516:0.360349:0.000000
=:@0.375605:0.387290:0.385721:0.387290:0.385721:0.370348:0.375605:0.370348:0.000000
(:@0.389273:0.389039:0.395409:0.389039:0.395409:0.367387:0.389273:0.367387:0.000000
):@0.435655:0.389039:0.441792:0.389039:0.441792:0.367387:0.435655:0.367387:0.000000
,,:@0.406129:0.387705:0.423949:0.387705:0.423949:0.371316:0.406129:0.371316:0.000000:0.000000
 que indica hacia dónde se mueve la recta, y   un número real :@0.445603:0.387764:0.907678:0.387764:0.907678:0.371375:0.445603:0.371375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.779456:0.387764:0.784837:0.387764:0.784837:0.371403:0.779456:0.371403:0.000000
denominado parámetro que recorre toda la recta.:@0.287494:0.404361:0.651010:0.404361:0.651010:0.387972:0.287494:0.387972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   y :@0.287494:0.428121:0.332966:0.428150:0.332966:0.411761:0.287494:0.411732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.304948:0.428144:0.310237:0.428144:0.310237:0.411782:0.304948:0.411782:0.000000
v:@0.333216:0.428144:0.340956:0.428144:0.340956:0.411782:0.333216:0.411782:0.000000
t:@0.402688:0.428144:0.408069:0.428144:0.408069:0.411782:0.402688:0.411782:0.000000
0:@0.308821:0.430147:0.314033:0.430147:0.314033:0.420649:0.308821:0.420649:0.000000
3:@0.373583:0.420481:0.378794:0.420481:0.378794:0.410983:0.373583:0.410983:0.000000
:@0.305786:0.417542:0.315386:0.417542:0.315386:0.400794:0.305786:0.400794:0.000000:0.000000
:@0.334220:0.416920:0.341775:0.416920:0.341775:0.400171:0.334220:0.400171:0.000000
:@0.359668:0.429021:0.372973:0.429021:0.372973:0.412273:0.359668:0.412273:0.000000
:@0.426579:0.429021:0.439884:0.429021:0.439884:0.412273:0.426579:0.412273:0.000000
    ;:@0.386572:0.428150:0.383845:0.428150:0.383845:0.411761:0.386572:0.411761:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.344263:0.427735:0.357402:0.427735:0.357402:0.410793:0.344263:0.410793:0.000000
∈:@0.411173:0.427735:0.424312:0.427735:0.424312:0.410793:0.411173:0.410793:0.000000
⇒:@0.449171:0.427735:0.467359:0.427735:0.467359:0.410793:0.449171:0.410793:0.000000
 la ecuación vectorial de la recta es::@0.467763:0.428115:0.724880:0.428115:0.724880:0.411726:0.467763:0.411726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.454989:0.448284:0.460278:0.448284:0.460278:0.431923:0.454989:0.431923:0.000000
r:@0.494093:0.448284:0.499381:0.448284:0.499381:0.431923:0.494093:0.431923:0.000000
tv r:@0.521218:0.448284:0.556397:0.448284:0.556397:0.431923:0.521218:0.431923:0.000000:0.000000:0.000000:0.000000
x yz:@0.596550:0.448284:0.648037:0.448284:0.648037:0.431923:0.596550:0.431923:0.000000:0.000000:0.000000:0.000000
ta bc:@0.676913:0.448284:0.729653:0.448284:0.729653:0.431923:0.676913:0.431923:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.454676:0.437054:0.462231:0.437054:0.462231:0.420306:0.454676:0.420306:0.000000
:@0.494940:0.437054:0.504523:0.437054:0.504523:0.420306:0.494940:0.420306:0.000000:0.000000
 :@0.528276:0.437054:0.558331:0.437054:0.558331:0.420306:0.528276:0.420306:0.000000:0.000000:0.000000
(t):@0.461310:0.448284:0.476826:0.448284:0.476826:0.431895:0.461310:0.431895:0.000000:0.000000:0.000000
 (t) ( ,:@0.546446:0.448284:0.615409:0.448284:0.615409:0.431895:0.546446:0.431895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=+:@0.480419:0.447869:0.518491:0.447869:0.518491:0.430927:0.480419:0.430927:0.000000:0.000000
=:@0.576538:0.447869:0.586655:0.447869:0.586655:0.430927:0.576538:0.430927:0.000000
+:@0.664069:0.447869:0.674186:0.447869:0.674186:0.430927:0.664069:0.430927:0.000000
(:@0.685179:0.449619:0.691315:0.449619:0.691315:0.427967:0.685179:0.427967:0.000000
):@0.731561:0.449619:0.737698:0.449619:0.737698:0.427967:0.731561:0.427967:0.000000
0:@0.497971:0.450288:0.503183:0.450288:0.503183:0.440790:0.497971:0.440790:0.000000
0:@0.604821:0.450288:0.610033:0.450288:0.610033:0.440790:0.604821:0.440790:0.000000
0:@0.627227:0.450288:0.632438:0.450288:0.632438:0.440790:0.627227:0.440790:0.000000
0:@0.648746:0.450288:0.653958:0.450288:0.653958:0.440790:0.648746:0.440790:0.000000
;:@0.536501:0.448284:0.539708:0.448284:0.539708:0.431895:0.536501:0.431895:0.000000
,:@0.634610:0.448284:0.637817:0.448284:0.637817:0.431895:0.634610:0.431895:0.000000
):@0.656447:0.448284:0.661330:0.448284:0.661330:0.431895:0.656447:0.431895:0.000000
, ,:@0.702037:0.448284:0.719856:0.448284:0.719856:0.431895:0.702037:0.431895:0.000000:0.000000:0.000000
Por ejemplo, la ecuación de la recta: :@0.619905:0.472425:0.886254:0.472425:0.886254:0.456036:0.619905:0.456036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rt:@0.621913:0.489145:0.638554:0.489145:0.638554:0.472784:0.621913:0.472784:0.000000:0.000000
t:@0.724574:0.489145:0.729955:0.489145:0.729955:0.472784:0.724574:0.472784:0.000000
:@0.621594:0.477920:0.629149:0.477920:0.629149:0.461172:0.621594:0.461172:0.000000
():@0.628241:0.489150:0.645010:0.489150:0.645010:0.472762:0.628241:0.472762:0.000000:0.000000
,,3:@0.674255:0.489150:0.702037:0.489150:0.702037:0.472762:0.674255:0.472762:0.000000:0.000000:0.000000
, 2 14  signifi ca que :@0.748545:0.489150:0.893168:0.489026:0.893168:0.472637:0.748545:0.472762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.770326:0.489150:0.773533:0.489150:0.773533:0.472762:0.770326:0.472762:0.000000
=:@0.648612:0.488736:0.658729:0.488736:0.658729:0.471793:0.648612:0.471793:0.000000
(:@0.662270:0.490484:0.668406:0.490484:0.668406:0.468832:0.662270:0.468832:0.000000
):@0.702627:0.490484:0.708763:0.490484:0.708763:0.468832:0.702627:0.468832:0.000000
+:@0.711742:0.488736:0.721858:0.488736:0.721858:0.471793:0.711742:0.471793:0.000000
−:@0.754199:0.488736:0.764316:0.488736:0.764316:0.471793:0.754199:0.471793:0.000000
(:@0.732839:0.490484:0.738976:0.490484:0.738976:0.468832:0.732839:0.468832:0.000000
):@0.786132:0.490484:0.792269:0.490484:0.792269:0.468832:0.786132:0.468832:0.000000
12:@0.668185:0.489150:0.688327:0.489150:0.688327:0.472762:0.668185:0.472762:0.000000:0.000000
la recta pasa por el punto fijo:@0.619905:0.505622:0.832962:0.505622:0.832962:0.489233:0.619905:0.489233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.814755:0.505622:0.818791:0.505622:0.818791:0.489233:0.814755:0.489233:0.000000
r:@0.619905:0.522219:0.625194:0.522219:0.625194:0.505857:0.619905:0.505857:0.000000
0:@0.625194:0.525377:0.630436:0.525377:0.630436:0.515823:0.625194:0.515823:0.000000
 = (1, 2, 3) y avanza en la dirección :@0.630435:0.522214:0.882761:0.522214:0.882761:0.505825:0.630435:0.505825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del vector   = (2, –1, 4).:@0.619913:0.538810:0.787677:0.538810:0.787677:0.522421:0.619913:0.522421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.697234:0.538810:0.704973:0.538810:0.704973:0.522449:0.697234:0.522449:0.000000
Ecuación paramétrica de la recta:@0.619913:0.569665:0.877638:0.569665:0.877638:0.552765:0.619913:0.552765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A partir de la ecuación vectorial de la :@0.619913:0.589830:0.907733:0.589830:0.907733:0.573441:0.619913:0.573441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta se pueden obtener las ecuacio-:@0.619913:0.606426:0.903644:0.606426:0.903644:0.590038:0.619913:0.590038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes paramétricas.:@0.619913:0.623023:0.747578:0.623023:0.747578:0.606634:0.619913:0.606634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (t) (,:@0.288998:0.651913:0.357954:0.651913:0.357954:0.635524:0.288998:0.635524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.293660:0.651913:0.298949:0.651913:0.298949:0.635552:0.293660:0.635552:0.000000
x yz:@0.339103:0.651913:0.390590:0.651913:0.390590:0.635552:0.339103:0.635552:0.000000:0.000000:0.000000:0.000000
ta bc:@0.419466:0.651913:0.472206:0.651913:0.472206:0.635552:0.419466:0.635552:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.293347:0.640683:0.300902:0.640683:0.300902:0.623934:0.293347:0.623934:0.000000
=:@0.319109:0.651498:0.329226:0.651498:0.329226:0.634556:0.319109:0.634556:0.000000
+:@0.406640:0.651498:0.416757:0.651498:0.416757:0.634556:0.406640:0.634556:0.000000
(:@0.427730:0.653248:0.433866:0.653248:0.433866:0.631596:0.427730:0.631596:0.000000
):@0.474112:0.653248:0.480249:0.653248:0.480249:0.631596:0.474112:0.631596:0.000000
,:@0.377156:0.651913:0.380362:0.651913:0.380362:0.635524:0.377156:0.635524:0.000000
):@0.398993:0.651913:0.403876:0.651913:0.403876:0.635524:0.398993:0.635524:0.000000
,,:@0.444583:0.651913:0.462402:0.651913:0.462402:0.635524:0.444583:0.635524:0.000000:0.000000
0:@0.347370:0.653917:0.352582:0.653917:0.352582:0.644419:0.347370:0.644419:0.000000
0:@0.369776:0.653917:0.374988:0.653917:0.374988:0.644419:0.369776:0.644419:0.000000
0:@0.391296:0.653917:0.396507:0.653917:0.396507:0.644419:0.391296:0.644419:0.000000
ecuación vectorial, entonces la ecua-:@0.287495:0.672554:0.557514:0.672554:0.557514:0.656165:0.287495:0.656165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción paramétrica es: :@0.287495:0.689552:0.438434:0.689552:0.438434:0.673163:0.287495:0.673163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.451999:0.689662:0.459462:0.689662:0.459462:0.673301:0.451999:0.673301:0.000000
x:@0.479898:0.689662:0.487362:0.689662:0.487362:0.673301:0.479898:0.673301:0.000000
at:@0.511999:0.689662:0.526594:0.689662:0.526594:0.673301:0.511999:0.673301:0.000000:0.000000
y:@0.452275:0.710532:0.459757:0.710532:0.459757:0.694171:0.452275:0.694171:0.000000
y:@0.480433:0.710532:0.487914:0.710532:0.487914:0.694171:0.480433:0.694171:0.000000
bt:@0.512276:0.710532:0.526870:0.710532:0.526870:0.694171:0.512276:0.694171:0.000000:0.000000
z:@0.451704:0.731402:0.458946:0.731402:0.458946:0.715041:0.451704:0.715041:0.000000
z:@0.478977:0.731402:0.486219:0.731402:0.486219:0.715041:0.478977:0.715041:0.000000
ct:@0.510765:0.731402:0.523904:0.731402:0.523904:0.715041:0.510765:0.715041:0.000000:0.000000
=:@0.464818:0.689246:0.474935:0.689246:0.474935:0.672304:0.464818:0.672304:0.000000
+:@0.498577:0.689246:0.508694:0.689246:0.508694:0.672304:0.498577:0.672304:0.000000
=:@0.465076:0.710116:0.475193:0.710116:0.475193:0.693174:0.465076:0.693174:0.000000
+:@0.499112:0.710116:0.509228:0.710116:0.509228:0.693174:0.499112:0.693174:0.000000
=:@0.464190:0.730972:0.474306:0.730972:0.474306:0.714030:0.464190:0.714030:0.000000
+:@0.497323:0.730972:0.507439:0.730972:0.507439:0.714030:0.497323:0.714030:0.000000
:@0.441524:0.690380:0.450627:0.690380:0.450627:0.673438:0.441524:0.673438:0.000000
:@0.441524:0.712467:0.450627:0.712467:0.450627:0.695525:0.441524:0.695525:0.000000
:@0.441524:0.702136:0.450627:0.702136:0.450627:0.685194:0.441524:0.685194:0.000000
:@0.441524:0.734596:0.450627:0.734596:0.450627:0.717654:0.441524:0.717654:0.000000
:@0.441524:0.725634:0.450627:0.725634:0.450627:0.708692:0.441524:0.708692:0.000000
0:@0.488167:0.691665:0.493379:0.691665:0.493379:0.682167:0.488167:0.682167:0.000000
0:@0.488691:0.712529:0.493902:0.712529:0.493902:0.703031:0.488691:0.703031:0.000000
0:@0.486907:0.733392:0.492119:0.733392:0.492119:0.723894:0.486907:0.723894:0.000000
En el ejemplo anterior::@0.583696:0.648728:0.748859:0.648728:0.748859:0.632339:0.583696:0.632339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rt:@0.584986:0.672765:0.601626:0.672765:0.601626:0.656404:0.584986:0.656404:0.000000:0.000000
t:@0.687647:0.672765:0.693027:0.672765:0.693027:0.656404:0.687647:0.656404:0.000000
:@0.584671:0.661529:0.592227:0.661529:0.592227:0.644780:0.584671:0.644780:0.000000
():@0.591320:0.672759:0.608089:0.672759:0.608089:0.656370:0.591320:0.656370:0.000000:0.000000
,,3:@0.637334:0.672759:0.665116:0.672759:0.665116:0.656370:0.637334:0.656370:0.000000:0.000000:0.000000
, 2 14  ecuación vectorial:@0.711624:0.672759:0.893838:0.672455:0.893838:0.656066:0.711624:0.656370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.733406:0.672759:0.736612:0.672759:0.736612:0.656370:0.733406:0.656370:0.000000
=:@0.611691:0.672344:0.621808:0.672344:0.621808:0.655402:0.611691:0.655402:0.000000
(:@0.625349:0.674094:0.631486:0.674094:0.631486:0.652442:0.625349:0.652442:0.000000
):@0.665706:0.674094:0.671842:0.674094:0.671842:0.652442:0.665706:0.652442:0.000000
+:@0.674821:0.672344:0.684938:0.672344:0.684938:0.655402:0.674821:0.655402:0.000000
−:@0.717278:0.672344:0.727395:0.672344:0.727395:0.655402:0.717278:0.655402:0.000000
(:@0.695919:0.674094:0.702055:0.674094:0.702055:0.652442:0.695919:0.652442:0.000000
):@0.749212:0.674094:0.755348:0.674094:0.755348:0.652442:0.749212:0.652442:0.000000
12:@0.631265:0.672759:0.651406:0.672759:0.651406:0.656370:0.631265:0.656370:0.000000:0.000000
x:@0.595356:0.695379:0.602819:0.695379:0.602819:0.679018:0.595356:0.679018:0.000000
t:@0.651007:0.695379:0.656388:0.695379:0.656388:0.679018:0.651007:0.679018:0.000000
y:@0.595614:0.716125:0.603096:0.716125:0.603096:0.699763:0.595614:0.699763:0.000000
t:@0.646290:0.716125:0.651671:0.716125:0.651671:0.699763:0.646290:0.699763:0.000000
z:@0.595043:0.736870:0.602285:0.736870:0.602285:0.720509:0.595043:0.720509:0.000000
t:@0.655246:0.736870:0.660627:0.736870:0.660627:0.720509:0.655246:0.720509:0.000000
=+:@0.608182:0.694964:0.639914:0.694964:0.639914:0.678022:0.608182:0.678022:0.000000:0.000000
=−:@0.608443:0.715710:0.643898:0.715710:0.643898:0.698768:0.608443:0.698768:0.000000:0.000000
=+:@0.607558:0.736455:0.643013:0.736455:0.643013:0.719513:0.607558:0.719513:0.000000:0.000000
:@0.584886:0.696222:0.593989:0.696222:0.593989:0.679279:0.584886:0.679279:0.000000
:@0.584886:0.718067:0.593989:0.718067:0.593989:0.701125:0.584886:0.701125:0.000000
:@0.584886:0.707736:0.593989:0.707736:0.593989:0.690794:0.584886:0.690794:0.000000
:@0.584886:0.739953:0.593989:0.739953:0.593989:0.723011:0.584886:0.723011:0.000000
:@0.584886:0.731230:0.593989:0.731230:0.593989:0.714288:0.584886:0.714288:0.000000
12:@0.620694:0.695379:0.651929:0.695379:0.651929:0.678990:0.620694:0.678990:0.000000:0.000000
2:@0.622106:0.716125:0.631099:0.716125:0.631099:0.699736:0.622106:0.699736:0.000000
34:@0.621217:0.736870:0.655603:0.736870:0.655603:0.720481:0.621217:0.720481:0.000000:0.000000
ecuación paramétrica de la recta.:@0.663474:0.714957:0.905831:0.714957:0.905831:0.698568:0.663474:0.698568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.315624:0.480398:0.315624:0.480398:0.300260:0.306727:0.300260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.316410:0.297460:0.316410:0.297460:0.299274:0.284892:0.299274:0.000000
Pienso y progreso:@0.294883:0.258813:0.417347:0.258813:0.417347:0.243449:0.294883:0.243449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es un dron y para que se emplea?:@0.294883:0.276208:0.556889:0.276208:0.556889:0.261309:0.294883:0.261309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación vectorial y paramétrica:@0.286308:0.057934:0.764763:0.057934:0.764763:0.024382:0.286308:0.024382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la recta en :@0.286308:0.088112:0.490191:0.088112:0.490191:0.054559:0.286308:0.054559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.514978:0.076015:0.525678:0.076015:0.525678:0.056454:0.514978:0.056454:0.000000
Una empresa usa un dron para inspeccionar una línea de torres eléctricas. El dron :@0.287495:0.168345:0.907714:0.168345:0.907714:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parte desde el punto  , con coordenadas  (2, 3, 1), y se mueve en la dirección del :@0.287495:0.184941:0.907694:0.184941:0.907694:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.450486:0.184941:0.460382:0.184941:0.460382:0.168580:0.450486:0.168580:0.000000
A:@0.602883:0.184941:0.612778:0.184941:0.612778:0.168580:0.602883:0.168580:0.000000
vector :@0.287495:0.201593:0.337913:0.201593:0.337913:0.185204:0.287495:0.185204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.339553:0.201552:0.347293:0.201552:0.347293:0.185190:0.339553:0.185190:0.000000
:@0.340550:0.190945:0.348106:0.190945:0.348106:0.174197:0.340550:0.174197:0.000000
=:@0.352639:0.201138:0.362756:0.201138:0.362756:0.184196:0.352639:0.184196:0.000000
−:@0.388812:0.201138:0.398929:0.201138:0.398929:0.184196:0.388812:0.184196:0.000000
(:@0.366307:0.202882:0.372443:0.202882:0.372443:0.181230:0.366307:0.181230:0.000000
):@0.421903:0.202882:0.428040:0.202882:0.428040:0.181230:0.421903:0.181230:0.000000
42 5 .:@0.373951:0.201547:0.431938:0.201587:0.431938:0.185198:0.373951:0.185158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.383165:0.201547:0.386371:0.201547:0.386371:0.185158:0.383165:0.185158:0.000000
,:@0.407508:0.201547:0.410714:0.201547:0.410714:0.185158:0.407508:0.185158:0.000000
¿Cuál es la ecuación vectorial y paramétrica de la recta?:@0.287502:0.225306:0.692129:0.225306:0.692129:0.208917:0.287502:0.208917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108603:0.183816:0.108603:0.183816:0.011514:0.094760:0.011514:0.000000:0.000000
Paso 1.:@0.293444:0.818776:0.345695:0.818776:0.345695:0.803198:0.293444:0.803198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación vectorial es::@0.349364:0.818776:0.510671:0.818776:0.510671:0.803877:0.349364:0.803877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A(2, 3, 1); :@0.293444:0.837422:0.356400:0.837422:0.356400:0.822523:0.293444:0.822523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.356870:0.837253:0.363836:0.837253:0.363836:0.822528:0.356870:0.822528:0.000000
:@0.357766:0.827706:0.364566:0.827706:0.364566:0.812632:0.357766:0.812632:0.000000
=:@0.368646:0.836880:0.377751:0.836880:0.377751:0.821632:0.368646:0.821632:0.000000
−:@0.401202:0.836880:0.410307:0.836880:0.410307:0.821632:0.401202:0.821632:0.000000
(:@0.380947:0.838454:0.386470:0.838454:0.386470:0.818968:0.380947:0.818968:0.000000
):@0.430984:0.838454:0.436506:0.838454:0.436506:0.818968:0.430984:0.818968:0.000000
42 5:@0.387826:0.837253:0.430697:0.837253:0.430697:0.822503:0.387826:0.822503:0.000000:0.000000:0.000000:0.000000
,:@0.396118:0.837253:0.399004:0.837253:0.399004:0.822503:0.396118:0.822503:0.000000
,:@0.418027:0.837253:0.420912:0.837253:0.420912:0.822503:0.418027:0.822503:0.000000
r:@0.355403:0.856604:0.360163:0.856604:0.360163:0.841879:0.355403:0.841879:0.000000
r:@0.390596:0.856604:0.395356:0.856604:0.395356:0.841879:0.390596:0.841879:0.000000
tv:@0.415009:0.856604:0.427448:0.856604:0.427448:0.841879:0.415009:0.841879:0.000000:0.000000
r:@0.360350:0.877892:0.365110:0.877892:0.365110:0.863166:0.360350:0.863166:0.000000
t:@0.447802:0.877892:0.452645:0.877892:0.452645:0.863166:0.447802:0.863166:0.000000
:@0.355126:0.846500:0.361925:0.846500:0.361925:0.831426:0.355126:0.831426:0.000000
:@0.391364:0.846500:0.399988:0.846500:0.399988:0.831426:0.391364:0.831426:0.000000:0.000000
:@0.421366:0.846500:0.428165:0.846500:0.428165:0.831426:0.421366:0.831426:0.000000
:@0.360067:0.867784:0.366867:0.867784:0.366867:0.852710:0.360067:0.852710:0.000000
(t):@0.361095:0.856606:0.375060:0.856606:0.375060:0.841856:0.361095:0.841856:0.000000:0.000000:0.000000
 (t) (,:@0.356153:0.877891:0.410622:0.877892:0.410622:0.863142:0.356153:0.863141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=+:@0.378294:0.856233:0.412558:0.856233:0.412558:0.840985:0.378294:0.840985:0.000000:0.000000
=:@0.383236:0.877518:0.392341:0.877518:0.392341:0.862270:0.383236:0.862270:0.000000
+:@0.436241:0.877518:0.445346:0.877518:0.445346:0.862270:0.436241:0.862270:0.000000
−:@0.475481:0.877518:0.484586:0.877518:0.484586:0.862270:0.475481:0.862270:0.000000
(:@0.455242:0.879093:0.460765:0.879093:0.460765:0.859606:0.455242:0.859606:0.000000
):@0.505279:0.879093:0.510802:0.879093:0.510802:0.859606:0.505279:0.859606:0.000000
0:@0.394084:0.858408:0.398775:0.858408:0.398775:0.849859:0.394084:0.849859:0.000000
23 1,):@0.399974:0.877892:0.433758:0.877892:0.433758:0.863142:0.399974:0.863142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 25:@0.462118:0.877892:0.504973:0.877892:0.504973:0.863142:0.462118:0.863142:0.000000:0.000000:0.000000:0.000000
;:@0.428749:0.856607:0.431635:0.856607:0.431635:0.841857:0.428749:0.841857:0.000000
,:@0.470413:0.877892:0.473299:0.877892:0.473299:0.863142:0.470413:0.863142:0.000000
,:@0.492322:0.877892:0.495208:0.877892:0.495208:0.863142:0.492322:0.863142:0.000000
La recta pasa por el punto fijo (2, 3, 1) y avanza en  Si   = 2, se obtiene un punto sobre:@0.293444:0.901362:0.871717:0.901216:0.871717:0.886317:0.293444:0.886463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.474534:0.901362:0.478203:0.901362:0.478203:0.886463:0.474534:0.886463:0.000000
dirección del vector director :@0.293444:0.916449:0.484989:0.916449:0.484989:0.901550:0.293444:0.901550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.487109:0.916471:0.494074:0.916471:0.494074:0.901746:0.487109:0.901746:0.000000
:@0.488005:0.906930:0.494805:0.906930:0.494805:0.891856:0.488005:0.891856:0.000000
=:@0.498885:0.916103:0.507990:0.916103:0.507990:0.900856:0.498885:0.900856:0.000000
−:@0.531441:0.916103:0.540546:0.916103:0.540546:0.900856:0.531441:0.900856:0.000000
(:@0.511185:0.917672:0.516708:0.917672:0.516708:0.898185:0.511185:0.898185:0.000000
):@0.561222:0.917672:0.566744:0.917672:0.566744:0.898185:0.561222:0.898185:0.000000
42 5:@0.518065:0.916471:0.560937:0.916471:0.560937:0.901721:0.518065:0.901721:0.000000:0.000000:0.000000:0.000000
,:@0.526358:0.916471:0.529244:0.916471:0.529244:0.901721:0.526358:0.901721:0.000000
,:@0.548266:0.916471:0.551152:0.916471:0.551152:0.901721:0.548266:0.901721:0.000000
.:@0.569422:0.916449:0.572336:0.916449:0.572336:0.901550:0.569422:0.901550:0.000000
Paso 2.:@0.642412:0.818769:0.694662:0.818769:0.694662:0.803191:0.642412:0.803191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 La ecuación paramétrica es::@0.694662:0.818769:0.882755:0.818769:0.882755:0.803870:0.694662:0.803870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.744657:0.837835:0.751373:0.837835:0.751373:0.823110:0.744657:0.823110:0.000000
t:@0.799121:0.837835:0.803964:0.837835:0.803964:0.823110:0.799121:0.823110:0.000000
y:@0.744889:0.856506:0.751622:0.856506:0.751622:0.841781:0.744889:0.841781:0.000000
t:@0.798043:0.856506:0.802886:0.856506:0.802886:0.841781:0.798043:0.841781:0.000000
z:@0.744375:0.875177:0.750893:0.875177:0.750893:0.860452:0.744375:0.860452:0.000000
t:@0.793947:0.875177:0.798790:0.875177:0.798790:0.860452:0.793947:0.860452:0.000000
=+:@0.756201:0.837462:0.788110:0.837462:0.788110:0.822214:0.756201:0.822214:0.000000:0.000000
=−:@0.756433:0.856133:0.788342:0.856133:0.788342:0.840885:0.756433:0.840885:0.000000:0.000000
=+:@0.755637:0.874804:0.784196:0.874804:0.784196:0.859556:0.755637:0.859556:0.000000:0.000000
:@0.735237:0.838594:0.743430:0.838594:0.743430:0.823347:0.735237:0.823347:0.000000
:@0.735237:0.858261:0.743430:0.858261:0.743430:0.843013:0.735237:0.843013:0.000000
:@0.735237:0.848963:0.743430:0.848963:0.743430:0.833715:0.735237:0.833715:0.000000
:@0.735237:0.877965:0.743430:0.877965:0.743430:0.862717:0.735237:0.862717:0.000000
:@0.735237:0.870111:0.743430:0.870111:0.743430:0.854863:0.735237:0.854863:0.000000
24:@0.768497:0.837835:0.799444:0.837835:0.799444:0.823085:0.768497:0.823085:0.000000:0.000000
32:@0.768729:0.856506:0.798880:0.856506:0.798880:0.841756:0.768729:0.841756:0.000000:0.000000
15:@0.766888:0.875177:0.795000:0.875177:0.795000:0.860427:0.766888:0.860427:0.000000:0.000000
t:@0.657357:0.901216:0.662248:0.901216:0.662248:0.886342:0.657357:0.886342:0.000000
la recta  (10, –1, 11).:@0.642413:0.916303:0.776416:0.916303:0.776416:0.901404:0.642413:0.901404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.694229:0.916303:0.702203:0.916303:0.702203:0.901429:0.694229:0.901429:0.000000
Resolvemos el problema inicial.:@0.287495:0.794502:0.516879:0.794502:0.516879:0.778113:0.287495:0.778113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.306727:0.767146:0.431598:0.767146:0.431598:0.751782:0.306727:0.751782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.285132:0.767932:0.297220:0.767932:0.297220:0.750796:0.285132:0.750796:0.000000
¿Qué entiendes por :@0.112709:0.191716:0.247834:0.191716:0.247834:0.176817:0.112709:0.176817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector director?:@0.139865:0.205546:0.244164:0.205546:0.244164:0.190647:0.139865:0.190647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.162839:0.227756:0.162839:0.227756:0.145939:0.108521:0.145939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.278652:0.068421:0.235826:0.056510:0.235826:0.056510:0.278652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los vectores determinan:@0.073803:0.426104:0.221723:0.426104:0.221723:0.412695:0.073803:0.412695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el desplazamiento de un dron.:@0.073803:0.438676:0.256233:0.438676:0.256233:0.425267:0.073803:0.425267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los buenos modales son :@0.078954:0.606195:0.247835:0.606195:0.247835:0.591296:0.078954:0.591296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el buen trato hacia las :@0.098286:0.620025:0.247833:0.620025:0.247833:0.605126:0.098286:0.605126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otras personas y las cosas. :@0.072303:0.633856:0.247831:0.633856:0.247831:0.618957:0.072303:0.618957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El objetivo es ser cortés y :@0.077329:0.647686:0.247831:0.647686:0.247831:0.632787:0.077329:0.632787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respetar a los demás.:@0.105071:0.661516:0.244163:0.661516:0.244163:0.646617:0.105071:0.646617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde: :@0.105791:0.678905:0.179669:0.678905:0.179669:0.664006:0.105791:0.664006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿crees que :@0.179669:0.678905:0.247181:0.678905:0.247181:0.664031:0.179669:0.664031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre actúas con buenos :@0.071667:0.692735:0.247180:0.692735:0.247180:0.677861:0.071667:0.677861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modales?, ¿cómo te sientes :@0.073962:0.706565:0.247180:0.706565:0.247180:0.691692:0.073962:0.691692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando te tratan con :@0.110281:0.720396:0.247180:0.720396:0.247180:0.705522:0.110281:0.705522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respeto y amabilidad?:@0.104954:0.734226:0.244166:0.734226:0.244166:0.719352:0.104954:0.719352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.099590:0.573754:0.238362:0.573754:0.238362:0.556854:0.099590:0.556854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.20.:@0.298180:0.946788:0.353208:0.946788:0.353208:0.934325:0.298180:0.934325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.353207:0.946788:0.359023:0.946788:0.359023:0.934496:0.353207:0.934496:0.000000:0.000000
Escribir y reconocer la ecuación vectorial y paramétrica de una recta a partir de un punto de la recta y :@0.359281:0.946788:0.906638:0.946788:0.906638:0.934868:0.359281:0.934868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un vector dirección, o a partir de dos puntos de la recta, y graficarlas en  .:@0.298180:0.958103:0.695356:0.958103:0.695356:0.946184:0.298180:0.946184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.627219:0.958103:0.630154:0.958103:0.630154:0.946184:0.627219:0.946184:0.000000
3:@0.689211:0.953705:0.693024:0.953705:0.693024:0.946756:0.689211:0.946756:0.000000