80:@0.058599:0.966558:0.074760:0.966558:0.074760:0.950778:0.058599:0.950778:0.000000:0.000000
Multiplicación de un número real  :@0.404235:0.128617:0.833833:0.128617:0.833833:0.083958:0.404235:0.083958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por un vector de V:@0.404235:0.166336:0.634312:0.166336:0.634312:0.121677:0.404235:0.121677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.634293:0.166305:0.642966:0.166305:0.642966:0.140268:0.634293:0.140268:0.000000
M.5.2.3. Multiplicar un escalar por un vector de forma geométrica y de forma analítica, aplicando propiedades de los números reales y de los vectores en el plano.:@0.142897:0.947334:0.838117:0.947334:0.838117:0.937292:0.142897:0.937292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404236:0.192361:0.442035:0.192361:0.442035:0.175864:0.404236:0.175864:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.492971:0.192998:0.505127:0.192998:0.509900:0.176717:0.497744:0.176717:0.000000
∈:@0.458536:0.192998:0.472272:0.192998:0.472272:0.176717:0.458536:0.176717:0.000000
∈:@0.511515:0.192998:0.525251:0.192998:0.525251:0.176717:0.511515:0.176717:0.000000
uV:@0.445501:0.192477:0.482162:0.192477:0.482162:0.176008:0.445501:0.176008:0.000000:0.000000
,:@0.488578:0.192361:0.491333:0.192361:0.491333:0.175864:0.488578:0.175864:0.000000
2:@0.480523:0.194580:0.485441:0.194580:0.485441:0.185031:0.480523:0.185031:0.000000
. A continuación se define la multiplicación del :@0.540160:0.192361:0.895912:0.192361:0.895912:0.175864:0.540160:0.175864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalar   por el:@0.404244:0.209712:0.515537:0.209712:0.515537:0.193214:0.404244:0.193214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.456838:0.209206:0.468994:0.209206:0.468994:0.191494:0.456838:0.191494:0.000000
 vector:@0.515520:0.209929:0.567575:0.209929:0.567575:0.193214:0.515520:0.193214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  . Esto es, :@0.567575:0.209712:0.649327:0.209712:0.649327:0.193214:0.567575:0.193214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.574496:0.209828:0.583705:0.209828:0.583705:0.193359:0.574496:0.193359:0.000000
α:@0.650462:0.210348:0.662618:0.210348:0.667391:0.194068:0.655234:0.194068:0.000000
u:@0.664764:0.209828:0.673973:0.209828:0.673973:0.193359:0.664764:0.193359:0.000000
. Debemos tener presente que :@0.675710:0.209712:0.895928:0.209712:0.895928:0.193214:0.675710:0.193214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dado  , existen :@0.404244:0.230200:0.520686:0.230206:0.520686:0.213708:0.404244:0.213703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.447474:0.230322:0.456683:0.230322:0.456683:0.213853:0.447474:0.213853:0.000000
A, B :@0.520686:0.230322:0.552667:0.230322:0.552667:0.213853:0.520686:0.213853:0.000000:0.000000:0.000000:0.000000:0.000000
puntos del plano, tales que :@0.552667:0.230206:0.747978:0.230206:0.747978:0.213708:0.552667:0.213708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.758084:0.228472:0.782916:0.228472:0.782916:0.212488:0.758084:0.212488:0.000000:0.000000
AB u:@0.806551:0.228472:0.852082:0.228472:0.852082:0.212488:0.806551:0.212488:0.000000:0.000000:0.000000:0.000000
,:@0.770025:0.228360:0.772699:0.228360:0.772699:0.212348:0.770025:0.212348:0.000000
.:@0.853365:0.228360:0.856039:0.228360:0.856039:0.212348:0.853365:0.212348:0.000000
(:@0.750056:0.231208:0.756283:0.231208:0.756283:0.209875:0.750056:0.209875:0.000000
):@0.783639:0.231208:0.789865:0.231208:0.789865:0.209875:0.783639:0.209875:0.000000
∈:@0.792383:0.228978:0.805715:0.228978:0.805715:0.213176:0.792383:0.213176:0.000000
=:@0.829724:0.228978:0.839989:0.228978:0.839989:0.213176:0.829724:0.213176:0.000000
 :@0.404236:0.255147:0.408263:0.255147:0.408263:0.238201:0.404236:0.238201:0.000000
Definición:@0.404236:0.279626:0.484320:0.279626:0.484320:0.262680:0.404236:0.262680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404236:0.305522:0.442035:0.305522:0.442035:0.289025:0.404236:0.289025:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.499528:0.306165:0.511684:0.306165:0.516457:0.289884:0.504300:0.289884:0.000000
∈:@0.456505:0.306165:0.470241:0.306165:0.470241:0.289884:0.456505:0.289884:0.000000
∈:@0.518077:0.306165:0.531813:0.306165:0.531813:0.289884:0.518077:0.289884:0.000000
uV:@0.443470:0.305644:0.480132:0.305644:0.480132:0.289175:0.443470:0.289175:0.000000:0.000000
y:@0.489534:0.305529:0.497355:0.305529:0.497355:0.289031:0.489534:0.289031:0.000000
2:@0.478493:0.307747:0.483410:0.307747:0.483410:0.298199:0.478493:0.298199:0.000000
. Fijado el punto  , se construye  tal que :@0.545529:0.305529:0.837205:0.305529:0.837205:0.289031:0.545529:0.289031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.660716:0.305644:0.671986:0.305644:0.671986:0.289175:0.660716:0.289175:0.000000
B, :@0.769272:0.305644:0.785320:0.305644:0.785320:0.289175:0.769272:0.289175:0.000000:0.000000:0.000000
=:@0.852088:0.306165:0.862665:0.306165:0.862665:0.289884:0.852088:0.289884:0.000000
u:@0.838641:0.305644:0.847850:0.305644:0.847850:0.289175:0.838641:0.289175:0.000000
AB:@0.867327:0.305644:0.887729:0.305644:0.887729:0.289175:0.867327:0.289175:0.000000:0.000000
 :@0.891771:0.305529:0.895913:0.305529:0.895913:0.289031:0.891771:0.289031:0.000000
y a partir de   se construye un punto   tal que :@0.404245:0.324759:0.776910:0.324759:0.776910:0.308261:0.404245:0.308261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.506177:0.324875:0.515367:0.324875:0.515367:0.308406:0.506177:0.308406:0.000000
C,:@0.699793:0.324875:0.713009:0.324875:0.713009:0.308406:0.699793:0.308406:0.000000:0.000000
α:@0.807600:0.325401:0.819756:0.325401:0.824528:0.309121:0.812372:0.309121:0.000000
=:@0.795569:0.325401:0.806145:0.325401:0.806145:0.309121:0.795569:0.309121:0.000000
=:@0.848086:0.325401:0.858663:0.325401:0.858663:0.309121:0.848086:0.309121:0.000000
v:@0.782526:0.324881:0.790309:0.324881:0.790309:0.308412:0.782526:0.308412:0.000000
ABAC:@0.824351:0.324881:0.884555:0.324881:0.884555:0.308412:0.824351:0.308412:0.000000:0.000000:0.000000:0.000000
. :@0.889015:0.324765:0.895912:0.324765:0.895912:0.308268:0.889015:0.308268:0.000000:0.000000
 :@0.891770:0.324765:0.895912:0.324765:0.895912:0.308268:0.891770:0.308268:0.000000
El bipunto (:@0.404244:0.343996:0.494078:0.343996:0.494078:0.327498:0.404244:0.327498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A, C:@0.494078:0.344111:0.525692:0.344111:0.525692:0.327643:0.494078:0.327643:0.000000:0.000000:0.000000:0.000000
) es representante de un vector :@0.525692:0.343996:0.766330:0.343996:0.766330:0.327498:0.525692:0.327498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AC:@0.772938:0.344118:0.794168:0.344118:0.794168:0.327649:0.772938:0.327649:0.000000:0.000000
denominado :@0.799375:0.344002:0.895911:0.344002:0.895911:0.327504:0.799375:0.327504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto de   por  , al que se lo denota :@0.404245:0.363232:0.702192:0.363239:0.702192:0.346741:0.404245:0.346735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.498161:0.362726:0.510317:0.362726:0.510317:0.345014:0.498161:0.345014:0.000000
u:@0.546032:0.363354:0.555241:0.363354:0.555241:0.346886:0.546032:0.346886:0.000000
α:@0.702704:0.363875:0.714861:0.363875:0.719633:0.347594:0.707477:0.347594:0.000000
u:@0.717007:0.363354:0.726216:0.363354:0.726216:0.346886:0.717007:0.346886:0.000000
, es decir, :@0.730672:0.363239:0.797289:0.363239:0.797289:0.346741:0.730672:0.346741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.838739:0.363875:0.850895:0.363875:0.855668:0.347594:0.843511:0.347594:0.000000
=:@0.826710:0.363875:0.837286:0.363875:0.837286:0.347594:0.826710:0.347594:0.000000
AC:@0.801010:0.363354:0.822240:0.363354:0.822240:0.346886:0.801010:0.346886:0.000000:0.000000
u:@0.853045:0.363354:0.862254:0.363354:0.862254:0.346886:0.853045:0.346886:0.000000
.:@0.865972:0.363239:0.868727:0.363239:0.868727:0.346741:0.865972:0.346741:0.000000
La norma del vector resultante :@0.404242:0.391390:0.626523:0.391390:0.626523:0.374893:0.404242:0.374893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.627029:0.392022:0.639185:0.392022:0.643958:0.375741:0.631801:0.375741:0.000000
u:@0.641331:0.391502:0.650540:0.391502:0.650540:0.375033:0.641331:0.375033:0.000000
es :@0.654996:0.391386:0.673510:0.391386:0.673510:0.374888:0.654996:0.374888:0.000000:0.000000:0.000000
α:@0.682293:0.390765:0.694450:0.390765:0.699222:0.374484:0.687066:0.374484:0.000000
α:@0.737469:0.390765:0.749625:0.390765:0.754398:0.374484:0.742241:0.374484:0.000000
=:@0.719106:0.390765:0.729682:0.390765:0.729682:0.374484:0.719106:0.374484:0.000000
u:@0.696596:0.390244:0.705804:0.390244:0.705804:0.373775:0.696596:0.373775:0.000000
u:@0.770208:0.390244:0.779417:0.390244:0.779417:0.373775:0.770208:0.373775:0.000000
.:@0.790146:0.391386:0.792901:0.391386:0.792901:0.374888:0.790146:0.374888:0.000000
En la figura 2.22. se muestran los vectores :@0.404244:0.419537:0.700077:0.419537:0.700077:0.403040:0.404244:0.403040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.765392:0.420168:0.777548:0.420168:0.782321:0.403887:0.770164:0.403887:0.000000
=:@0.715668:0.420168:0.726245:0.420168:0.726245:0.403887:0.715668:0.403887:0.000000
=:@0.793153:0.420168:0.803730:0.420168:0.803730:0.403887:0.793153:0.403887:0.000000
y:@0.755403:0.419532:0.763225:0.419532:0.763225:0.403034:0.755403:0.403034:0.000000
u:@0.702212:0.419647:0.711421:0.419647:0.711421:0.403179:0.702212:0.403179:0.000000
AB:@0.730898:0.419647:0.751300:0.419647:0.751300:0.403179:0.730898:0.403179:0.000000:0.000000
u:@0.779697:0.419647:0.788906:0.419647:0.788906:0.403179:0.779697:0.403179:0.000000
AC:@0.808383:0.419647:0.829613:0.419647:0.829613:0.403179:0.808383:0.403179:0.000000:0.000000
.:@0.834087:0.419532:0.836842:0.419532:0.836842:0.403034:0.834087:0.403034:0.000000
Obsérvese que si   > 0, los vectores   y :@0.404241:0.654418:0.683866:0.654425:0.683866:0.637927:0.404241:0.637920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.525071:0.653912:0.537227:0.653912:0.537227:0.636199:0.525071:0.636199:0.000000
u:@0.655948:0.654540:0.665156:0.654540:0.665156:0.638071:0.655948:0.638071:0.000000
α:@0.683265:0.655061:0.695421:0.655061:0.700194:0.638780:0.688037:0.638780:0.000000
u:@0.697567:0.654540:0.706776:0.654540:0.706776:0.638071:0.697567:0.638071:0.000000
tienen la misma dirección :@0.712906:0.654425:0.895906:0.654425:0.895906:0.637927:0.712906:0.637927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y sentido. Además, si 0 <   < 1, :@0.404238:0.671775:0.625827:0.671775:0.625827:0.655278:0.404238:0.655278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.580265:0.671269:0.592421:0.671269:0.592421:0.653557:0.580265:0.653557:0.000000
α:@0.625831:0.672411:0.637987:0.672411:0.642760:0.656131:0.630603:0.656131:0.000000
u:@0.640133:0.671891:0.649342:0.671891:0.649342:0.655422:0.640133:0.655422:0.000000
es un vector más pequeño que  , :@0.655474:0.671775:0.895911:0.671775:0.895911:0.655278:0.655474:0.655278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.878790:0.671891:0.887998:0.671891:0.887998:0.655422:0.878790:0.655422:0.000000
 :@0.891769:0.671775:0.895911:0.671775:0.895911:0.655278:0.891769:0.655278:0.000000
mientras que si   > 1, el vector :@0.404242:0.689126:0.628836:0.689126:0.628836:0.672628:0.404242:0.672628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.516173:0.688620:0.528330:0.688620:0.528330:0.670908:0.516173:0.670908:0.000000
α:@0.629473:0.689762:0.641629:0.689762:0.646402:0.673481:0.634245:0.673481:0.000000
u:@0.643775:0.689242:0.652984:0.689242:0.652984:0.672773:0.643775:0.672773:0.000000
 es más grande que   (ver figura :@0.659114:0.689126:0.895900:0.689126:0.895900:0.672628:0.659114:0.672628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.802230:0.689242:0.811438:0.689242:0.811438:0.672773:0.802230:0.672773:0.000000
2.22.). :@0.404233:0.706477:0.448081:0.706477:0.448081:0.689979:0.404233:0.689979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   < 0, los vectores   y :@0.404233:0.730956:0.586845:0.730955:0.586845:0.714458:0.404233:0.714458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.420358:0.730450:0.432514:0.730450:0.432514:0.712738:0.420358:0.712738:0.000000
u:@0.557635:0.731071:0.566843:0.731071:0.566843:0.714602:0.557635:0.714602:0.000000
α:@0.587513:0.731591:0.599670:0.731591:0.604442:0.715311:0.592286:0.715311:0.000000
u:@0.601817:0.731071:0.611026:0.731071:0.611026:0.714602:0.601817:0.714602:0.000000
tienen la misma dirección, pero son de :@0.617156:0.730955:0.895951:0.730955:0.895951:0.714458:0.617156:0.714458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sentidos opuestos. En la gráfica se muestra el caso  <0.:@0.404236:0.748306:0.796007:0.748306:0.796007:0.731808:0.404236:0.731808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.761792:0.747800:0.773948:0.747800:0.773948:0.730088:0.761792:0.730088:0.000000
Definición:@0.404236:0.797727:0.484320:0.797727:0.484320:0.780781:0.404236:0.780781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,:@0.404236:0.822365:0.458764:0.822371:0.458764:0.805873:0.404236:0.805867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.474908:0.823007:0.488644:0.823007:0.488644:0.806726:0.474908:0.806726:0.000000
2:@0.496895:0.824590:0.501813:0.824590:0.501813:0.815041:0.496895:0.815041:0.000000
uv V:@0.444754:0.822487:0.498542:0.822487:0.498542:0.806018:0.444754:0.806018:0.000000:0.000000:0.000000:0.000000
 con :@0.506266:0.822371:0.542078:0.822371:0.542078:0.805873:0.506266:0.805873:0.000000:0.000000:0.000000:0.000000:0.000000
≠:@0.558047:0.823475:0.570147:0.823475:0.570147:0.804850:0.558047:0.804850:0.000000
0:@0.574819:0.822747:0.584539:0.822747:0.584539:0.803874:0.574819:0.803874:0.000000
u:@0.542663:0.822880:0.553198:0.822880:0.553198:0.804039:0.542663:0.804039:0.000000
 :@0.544228:0.813401:0.584098:0.811003:0.584098:0.790971:0.544228:0.793370:0.000000:0.000000:0.000000
. Se dice que   y   son colineales si y solo :@0.584536:0.822371:0.895922:0.822371:0.895922:0.805873:0.584536:0.805873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.681013:0.822487:0.690221:0.822487:0.690221:0.806018:0.681013:0.806018:0.000000
v:@0.713608:0.822487:0.721391:0.822487:0.721391:0.806018:0.713608:0.806018:0.000000
 :@0.891764:0.822371:0.895906:0.822371:0.895906:0.805873:0.891764:0.805873:0.000000
si existe :@0.404238:0.839722:0.462342:0.839722:0.462342:0.823224:0.404238:0.823224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.462850:0.840358:0.475007:0.840358:0.479779:0.824077:0.467623:0.824077:0.000000
∈:@0.481393:0.840358:0.495129:0.840358:0.495129:0.824077:0.481393:0.824077:0.000000
, tal que :@0.512594:0.839722:0.572779:0.839722:0.572779:0.823224:0.512594:0.823224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.600252:0.840358:0.612408:0.840358:0.617181:0.824077:0.605024:0.824077:0.000000
=:@0.588221:0.840358:0.598798:0.840358:0.598798:0.824077:0.588221:0.824077:0.000000
v:@0.575178:0.839837:0.582962:0.839837:0.582962:0.823369:0.575178:0.823369:0.000000
u:@0.614557:0.839837:0.623765:0.839837:0.623765:0.823369:0.614557:0.823369:0.000000
.:@0.625080:0.839722:0.627835:0.839722:0.627835:0.823224:0.625080:0.823224:0.000000
Nótese que los vectores   y :@0.404242:0.865979:0.611432:0.865983:0.611432:0.849485:0.404242:0.849482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.581971:0.866099:0.591180:0.866099:0.591180:0.849630:0.581971:0.849630:0.000000
α:@0.612354:0.866619:0.624510:0.866619:0.629283:0.850338:0.617126:0.850338:0.000000
u:@0.626656:0.866099:0.635865:0.866099:0.635865:0.849630:0.626656:0.849630:0.000000
son paralelos; son del mismo senti-:@0.641995:0.865983:0.891805:0.865983:0.891805:0.849485:0.641995:0.849485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do si   > 0, y son de sentidos opuestos si   < 0.:@0.404242:0.883334:0.741552:0.883334:0.741552:0.866836:0.404242:0.866836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.441906:0.882828:0.454062:0.882828:0.454062:0.865115:0.441906:0.865115:0.000000
α:@0.699053:0.882828:0.711209:0.882828:0.711209:0.865115:0.699053:0.865115:0.000000
u:@0.450900:0.521198:0.458359:0.521198:0.458359:0.507858:0.450900:0.507858:0.000000
u:@0.569051:0.521467:0.576510:0.521467:0.576510:0.508127:0.569051:0.508127:0.000000
0:@0.526284:0.561586:0.533930:0.561586:0.533930:0.546738:0.526284:0.546738:0.000000
α:@0.496544:0.562159:0.507485:0.562159:0.511780:0.547506:0.500839:0.547506:0.000000
>:@0.513609:0.562159:0.523128:0.562159:0.523128:0.547506:0.513609:0.547506:0.000000
α:@0.633155:0.494184:0.644095:0.494184:0.648390:0.479531:0.637450:0.479531:0.000000
u:@0.646027:0.493716:0.654315:0.493716:0.654315:0.478894:0.646027:0.478894:0.000000
p:@0.822929:0.608972:0.834409:0.608972:0.834409:0.598948:0.822929:0.598948:0.000000
 Figura 2.22.:@0.834409:0.609680:0.891769:0.609680:0.891769:0.598204:0.834409:0.598204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.819562:0.515765:0.827021:0.515765:0.827021:0.502425:0.819562:0.502425:0.000000
α:@0.738847:0.554354:0.749788:0.554354:0.754083:0.539701:0.743142:0.539701:0.000000
<:@0.755913:0.554354:0.765431:0.554354:0.765431:0.539701:0.755913:0.539701:0.000000
0:@0.768587:0.553781:0.776234:0.553781:0.776234:0.538933:0.768587:0.538933:0.000000
u:@0.621604:0.558580:0.629891:0.558580:0.629891:0.543758:0.621604:0.543758:0.000000
α:@0.608731:0.559048:0.619672:0.559048:0.623967:0.544396:0.613026:0.544396:0.000000
Saberes previos:@0.199646:0.102404:0.307805:0.102404:0.307805:0.086932:0.199646:0.086932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo denotas la suma :@0.199884:0.131032:0.359476:0.131032:0.359476:0.115968:0.199884:0.115968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de dos vectores?:@0.153341:0.146874:0.260268:0.146874:0.260268:0.131810:0.153341:0.131810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199644:0.179288:0.363492:0.179288:0.363492:0.163816:0.199644:0.163816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si una fuerza actúa sobre :@0.199880:0.207915:0.365285:0.207915:0.365285:0.192852:0.199880:0.192852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una carga puntual y dicha fuer-:@0.153337:0.223757:0.354461:0.223757:0.354461:0.208694:0.153337:0.208694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
za es proporcional al campo :@0.153337:0.239599:0.339809:0.239599:0.339809:0.224536:0.153337:0.224536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eléctrico en el que se encuentra, :@0.153337:0.255441:0.364818:0.255441:0.364818:0.240378:0.153337:0.240378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.167620:0.273694:0.177139:0.273694:0.177139:0.259041:0.167620:0.259041:0.000000
F:@0.155652:0.273225:0.162449:0.273225:0.162449:0.258404:0.155652:0.258404:0.000000
qE:@0.180672:0.273225:0.195747:0.273225:0.195747:0.258404:0.180672:0.258404:0.000000:0.000000
, ¿cuáles son la magnitud :@0.198455:0.271283:0.362005:0.271283:0.362005:0.256220:0.198455:0.256220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalar y la magnitud vectorial :@0.153336:0.287125:0.352471:0.287125:0.352471:0.272062:0.153336:0.272062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se multiplican?:@0.153336:0.302967:0.277997:0.302967:0.277997:0.287904:0.153336:0.287904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.199644:0.339644:0.267109:0.339644:0.267109:0.321961:0.199644:0.321961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector. :@0.199880:0.366457:0.247600:0.366457:0.247600:0.351196:0.199880:0.351196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Toda magnitud :@0.247426:0.366259:0.348762:0.366259:0.348762:0.351196:0.247426:0.351196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la que, además de la cuantía, :@0.153337:0.382101:0.355691:0.382101:0.355691:0.367038:0.153337:0.367038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hay que considerar el punto :@0.153337:0.397943:0.333649:0.397943:0.333649:0.382880:0.153337:0.382880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de aplicación, la dirección y el :@0.153337:0.413785:0.343587:0.413785:0.343587:0.398722:0.153337:0.398722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sentido.:@0.153337:0.429627:0.202906:0.429627:0.202906:0.414564:0.153337:0.414564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146908:0.343375:0.158313:0.341866:0.153110:0.319721:0.141706:0.321230:0.000000
c:@0.150290:0.354345:0.160889:0.352942:0.155807:0.331307:0.145207:0.332710:0.000000
b:@0.160665:0.347127:0.173379:0.345444:0.168247:0.323602:0.155534:0.325284:0.000000
Competencia :@0.200180:0.454859:0.297803:0.454859:0.297803:0.439387:0.200180:0.439387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.200180:0.467427:0.284243:0.467427:0.284243:0.451955:0.200180:0.451955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de vectores se :@0.200418:0.491902:0.353256:0.491902:0.353256:0.476839:0.200418:0.476839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede realizar por el método :@0.153875:0.507744:0.346132:0.507744:0.346132:0.492681:0.153875:0.492681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del paralelogramo, es decir, :@0.153875:0.523586:0.331847:0.523586:0.331847:0.508523:0.153875:0.508523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trazar sobre cada vector una :@0.153875:0.539428:0.342721:0.539428:0.342721:0.524365:0.153875:0.524365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta paralela al otro vector, :@0.153875:0.555270:0.336934:0.555270:0.336934:0.540207:0.153875:0.540207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formando un paralelogramo :@0.153875:0.571112:0.341895:0.571112:0.341895:0.556049:0.153875:0.556049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuya diagonal es la suma.:@0.153875:0.586954:0.315562:0.586954:0.315562:0.571891:0.153875:0.571891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.166808:0.629213:0.174888:0.629213:0.174888:0.614391:0.166808:0.614391:0.000000
b:@0.215817:0.677326:0.224157:0.677326:0.224157:0.662504:0.215817:0.662504:0.000000
ab:@0.254185:0.636981:0.285325:0.636981:0.285325:0.622160:0.254185:0.622160:0.000000:0.000000
+:@0.265022:0.637450:0.274541:0.637450:0.274541:0.622797:0.265022:0.622797:0.000000
Practica :@0.153880:0.700493:0.214898:0.700493:0.214898:0.685021:0.153880:0.685021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en tu cuaderno.:@0.214898:0.700071:0.316778:0.700071:0.316778:0.685008:0.214898:0.685008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dados los vectores :@0.153880:0.715913:0.279575:0.715913:0.279575:0.700850:0.153880:0.700850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,,:@0.292344:0.715236:0.308399:0.715236:0.308399:0.700388:0.292344:0.700388:0.000000:0.000000
pq:@0.282929:0.715340:0.304429:0.715340:0.304429:0.700518:0.282929:0.700518:0.000000:0.000000
 :@0.311237:0.715913:0.315019:0.715913:0.315019:0.700850:0.311237:0.700850:0.000000
en-:@0.315019:0.716335:0.337675:0.716335:0.337675:0.700863:0.315019:0.700863:0.000000:0.000000:0.000000
cuentra:@0.153877:0.732177:0.208177:0.732177:0.208177:0.716705:0.153877:0.716705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el vector suma :@0.208177:0.731755:0.310690:0.731755:0.310690:0.716692:0.208177:0.716692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.324734:0.731651:0.334253:0.731651:0.334253:0.716998:0.324734:0.716998:0.000000
pq:@0.314036:0.731182:0.345333:0.731182:0.345333:0.716360:0.314036:0.716360:0.000000:0.000000
.:@0.348385:0.731755:0.350901:0.731755:0.350901:0.716692:0.348385:0.716692:0.000000
Competencia :@0.199644:0.755442:0.297267:0.755442:0.297267:0.739970:0.199644:0.739970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.199644:0.768010:0.311603:0.768010:0.311603:0.752538:0.199644:0.752538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende la siguiente :@0.193071:0.792485:0.329536:0.792485:0.329536:0.777422:0.193071:0.777422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simbología matemática::@0.153335:0.808327:0.308107:0.808327:0.308107:0.793264:0.153335:0.793264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• Denotamos los vectores con :@0.153335:0.827733:0.346521:0.827733:0.346521:0.812670:0.153335:0.812670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
letras latinas, como :@0.153335:0.844711:0.277642:0.844711:0.277642:0.829648:0.153335:0.829648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v a b:@0.279406:0.844762:0.346049:0.845139:0.346049:0.830317:0.279406:0.829940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,  ,  , :@0.289352:0.844811:0.335400:0.844811:0.335400:0.829775:0.289352:0.829775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.  :@0.350478:0.844706:0.360557:0.844706:0.360557:0.829643:0.350478:0.829643:0.000000:0.000000:0.000000
Mientras que a las magnitudes :@0.153346:0.860548:0.354840:0.860548:0.354840:0.845485:0.153346:0.845485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalares con letras griegas, :@0.153346:0.876390:0.331143:0.876390:0.331143:0.861327:0.153346:0.861327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como  ,  .:@0.153346:0.892232:0.224850:0.892232:0.224850:0.877169:0.153346:0.877169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α β:@0.195281:0.891770:0.222334:0.891770:0.222334:0.875598:0.195281:0.875598:0.000000:0.000000:0.000000
• Al producto de   por   lo :@0.153346:0.911638:0.340961:0.911638:0.340961:0.896575:0.153346:0.896575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.265798:0.911176:0.276897:0.911176:0.276897:0.895004:0.265798:0.895004:0.000000
u:@0.309481:0.912071:0.317769:0.912071:0.317769:0.897249:0.309481:0.897249:0.000000
denotamos con :@0.153346:0.927480:0.260115:0.927480:0.260115:0.912417:0.153346:0.912417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.260575:0.928633:0.271515:0.928633:0.275810:0.913981:0.264870:0.913981:0.000000
u:@0.273447:0.928165:0.281735:0.928165:0.281735:0.913343:0.273447:0.913343:0.000000
.:@0.283458:0.927480:0.285973:0.927480:0.285973:0.912417:0.283458:0.912417:0.000000