﻿152:@0.026565:0.967627:0.050760:0.967627:0.050760:0.951847:0.026565:0.951847:0.000000:0.000000:0.000000
Interpretación geométrica  :@0.404235:0.134794:0.748446:0.134794:0.748446:0.090135:0.404235:0.090135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las operaciones en :@0.404235:0.172513:0.674518:0.172513:0.674518:0.127854:0.404235:0.127854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.674518:0.170514:0.710803:0.170514:0.710803:0.135435:0.674518:0.135435:0.000000
2:@0.710798:0.156162:0.719471:0.156162:0.719471:0.130125:0.710798:0.130125:0.000000
M.5.2.6. Reconocer los vectores como elementos geométricos de  .:@0.143847:0.953883:0.438545:0.953883:0.438545:0.943841:0.143847:0.943841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.425388:0.953293:0.433855:0.953293:0.433855:0.945108:0.425388:0.945108:0.000000
2:@0.433854:0.950016:0.436869:0.950016:0.436869:0.944162:0.433854:0.944162:0.000000
Consideremos el sistema de coordenadas rectangulares   y denote-:@0.404236:0.195987:0.891782:0.195987:0.891782:0.179490:0.404236:0.179490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.802697:0.196103:0.818052:0.196103:0.818052:0.179634:0.802697:0.179634:0.000000:0.000000
mos con   el punto de intersección del eje   con el eje  .:@0.404255:0.213338:0.805547:0.213338:0.805547:0.196841:0.404255:0.196841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O:@0.470220:0.213454:0.482126:0.213454:0.482126:0.196985:0.470220:0.196985:0.000000
x:@0.712517:0.213454:0.719992:0.213454:0.719992:0.196985:0.712517:0.196985:0.000000
y:@0.795105:0.213454:0.802792:0.213454:0.802792:0.196985:0.795105:0.196985:0.000000
Sea :@0.404255:0.238439:0.432518:0.238439:0.432518:0.221941:0.404255:0.221941:0.000000:0.000000:0.000000:0.000000
∈:@0.505620:0.239140:0.518560:0.239140:0.518560:0.223803:0.505620:0.223803:0.000000
=( ,):@0.453244:0.238541:0.502353:0.238541:0.502353:0.223000:0.453244:0.223000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.535950:0.230971:0.540583:0.230971:0.540583:0.221976:0.535950:0.221976:0.000000
A:@0.438746:0.238650:0.449363:0.238650:0.449363:0.223136:0.438746:0.223136:0.000000
a b:@0.472629:0.238650:0.497238:0.238650:0.497238:0.223136:0.472629:0.223136:0.000000:0.000000:0.000000
. Representamos el punto   en este sistema de :@0.540954:0.238445:0.895967:0.238445:0.895967:0.221948:0.540954:0.221948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.736861:0.238561:0.748131:0.238561:0.748131:0.222092:0.736861:0.222092:0.000000
coordenadas y asociamos al punto   el vector geométrico :@0.404229:0.257676:0.827810:0.257676:0.827810:0.241178:0.404229:0.241178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.658680:0.257791:0.669950:0.257791:0.669950:0.241323:0.658680:0.241323:0.000000
OA:@0.831198:0.257798:0.854085:0.257798:0.854085:0.241329:0.831198:0.241329:0.000000:0.000000
, con :@0.857112:0.257682:0.895912:0.257682:0.895912:0.241184:0.857112:0.241184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo que se establece una identificación entre los vectores geométricos :@0.404244:0.275033:0.895887:0.275033:0.895887:0.258535:0.404244:0.258535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
OA:@0.406801:0.294385:0.429688:0.294385:0.429688:0.277916:0.406801:0.277916:0.000000:0.000000
 y los puntos   de  . :@0.432715:0.294269:0.590516:0.294269:0.590516:0.277772:0.432715:0.277772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.527344:0.294385:0.538615:0.294385:0.538615:0.277916:0.527344:0.277916:0.000000
R:@0.564757:0.293301:0.578667:0.293301:0.578667:0.279854:0.564757:0.279854:0.000000
2:@0.578665:0.287916:0.583619:0.287916:0.583619:0.278298:0.578665:0.278298:0.000000
Notación :@0.404240:0.319211:0.482688:0.319211:0.482688:0.302265:0.404240:0.302265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Debido a la identificación entre los elementos de   y los :@0.475907:0.318748:0.895897:0.318748:0.895897:0.302250:0.475907:0.302251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.836372:0.317780:0.850281:0.317780:0.850281:0.304333:0.836372:0.304333:0.000000
2:@0.850334:0.312396:0.855287:0.312396:0.855287:0.302778:0.850334:0.302778:0.000000
vectores geométricos, escribimos   :@0.404230:0.336720:0.658652:0.336727:0.658652:0.320230:0.404230:0.320223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.639798:0.338100:0.651069:0.338100:0.651069:0.321631:0.639798:0.321631:0.000000
∈:@0.709312:0.337423:0.722252:0.337423:0.722252:0.322086:0.709312:0.322086:0.000000
=( ,):@0.656938:0.336824:0.706038:0.336824:0.706038:0.321283:0.656938:0.321283:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.739641:0.329253:0.744273:0.329253:0.744273:0.320258:0.739641:0.320258:0.000000
A:@0.642439:0.336933:0.653055:0.336933:0.653055:0.321419:0.642439:0.321419:0.000000
a b:@0.676322:0.336933:0.700929:0.336933:0.700929:0.321419:0.676322:0.321419:0.000000:0.000000:0.000000
 al vector geométrico :@0.747828:0.336727:0.895920:0.336727:0.895920:0.320230:0.747828:0.320230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
OA:@0.406801:0.356080:0.429688:0.356080:0.429688:0.339611:0.406801:0.339611:0.000000:0.000000
. Esto justifica, en parte, la escritura de los elementos de   como :@0.432715:0.355964:0.895916:0.355964:0.895916:0.339466:0.432715:0.339466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.827146:0.354995:0.841056:0.354995:0.841056:0.341548:0.827146:0.341548:0.000000
2:@0.841026:0.349612:0.845980:0.349612:0.845980:0.339994:0.841026:0.339994:0.000000
u v A:@0.406382:0.374059:0.465710:0.375316:0.465710:0.358848:0.406382:0.357590:0.000000:0.000000:0.000000:0.000000:0.000000
,  , :@0.419313:0.373943:0.449454:0.373943:0.449454:0.357446:0.419313:0.357446:0.000000:0.000000:0.000000:0.000000:0.000000
, etc., que arriba se ha mencionado. La figura 3.17. muestra :@0.469152:0.373943:0.895933:0.373943:0.895933:0.357446:0.469152:0.357446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el vector.:@0.404228:0.391294:0.467360:0.391294:0.467360:0.374796:0.404228:0.374796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interpretación geométrica de la suma de vectores :@0.404236:0.417170:0.805401:0.417170:0.805401:0.399487:0.404236:0.399487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404236:0.433878:0.442035:0.433878:0.442035:0.417380:0.404236:0.417380:0.000000:0.000000:0.000000:0.000000:0.000000
(, ),:@0.476725:0.433878:0.526545:0.433878:0.526545:0.417380:0.476725:0.417380:0.000000:0.000000:0.000000:0.000000:0.000000
(, )  dos elementos de :@0.556618:0.433878:0.751658:0.433878:0.751658:0.417380:0.556618:0.417380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.490808:0.436096:0.495725:0.436096:0.495725:0.426548:0.490808:0.426548:0.000000
1:@0.512585:0.436096:0.517502:0.436096:0.517502:0.426548:0.512585:0.426548:0.000000
2:@0.571171:0.436096:0.576088:0.436096:0.576088:0.426548:0.571171:0.426548:0.000000
2:@0.594576:0.436096:0.599494:0.436096:0.599494:0.426548:0.594576:0.426548:0.000000
=:@0.462695:0.434514:0.393379:0.434514:0.393379:0.418233:0.462695:0.418233:0.000000
=:@0.542588:0.434514:0.473272:0.434514:0.473272:0.418233:0.542588:0.418233:0.000000
A:@0.448246:0.433993:0.459517:0.433993:0.459517:0.417525:0.448246:0.417525:0.000000
a bB:@0.482693:0.433993:0.539313:0.433993:0.539313:0.417525:0.482693:0.417525:0.000000:0.000000:0.000000:0.000000
ab:@0.562582:0.433993:0.595101:0.433993:0.595101:0.417525:0.562582:0.417525:0.000000:0.000000
R:@0.754154:0.432909:0.768064:0.432909:0.768064:0.419462:0.754154:0.419462:0.000000
2:@0.768058:0.427526:0.773011:0.427526:0.773011:0.417908:0.768058:0.417908:0.000000
. Representemos :@0.773012:0.433878:0.895912:0.433878:0.895912:0.417380:0.773012:0.417380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geométricamente los vectores   y  . Tracemos, por el extremo del :@0.404236:0.453108:0.895928:0.453114:0.895928:0.436617:0.404236:0.436610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.628588:0.453230:0.639858:0.453230:0.639858:0.436761:0.628588:0.436761:0.000000
B:@0.663568:0.453481:0.672758:0.453481:0.672758:0.437013:0.663568:0.437013:0.000000
vector  , el vector  . Luego, el vector geométrico que une el origen :@0.404235:0.472345:0.895922:0.472351:0.895922:0.455853:0.404235:0.455847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.456753:0.472718:0.465943:0.472718:0.465943:0.456249:0.456753:0.456249:0.000000
A:@0.544380:0.472467:0.555650:0.472467:0.555650:0.455998:0.544380:0.455998:0.000000
con el extremo del vector trasladado   al extremo de   es la suma :@0.404238:0.491336:0.895916:0.491336:0.895916:0.474839:0.404238:0.474838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.676674:0.492709:0.687944:0.492709:0.687944:0.476240:0.676674:0.476240:0.000000
B:@0.802196:0.491703:0.811386:0.491703:0.811386:0.475235:0.802196:0.475235:0.000000
 :@0.891774:0.491336:0.895916:0.491336:0.895916:0.474839:0.891774:0.474839:0.000000
B +  A:@0.406801:0.510940:0.450438:0.510689:0.450438:0.494220:0.406801:0.494471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, que coincide con el punto :@0.453879:0.510573:0.648263:0.510573:0.648263:0.494075:0.453879:0.494075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.661893:0.511412:0.605068:0.511412:0.605068:0.494972:0.661893:0.494972:0.000000
+:@0.729399:0.511412:0.672573:0.511412:0.672573:0.494972:0.729399:0.494972:0.000000
+:@0.782100:0.511412:0.792780:0.511412:0.792780:0.494972:0.782100:0.494972:0.000000
=(:@0.691016:0.510770:0.713680:0.510770:0.713680:0.494111:0.691016:0.494111:0.000000:0.000000
,:@0.759216:0.510770:0.761998:0.510770:0.761998:0.494111:0.759216:0.494111:0.000000
):@0.810069:0.510770:0.816080:0.510770:0.816080:0.494111:0.810069:0.494111:0.000000
1:@0.721893:0.513010:0.726859:0.513010:0.726859:0.503368:0.721893:0.503368:0.000000
2:@0.750922:0.513010:0.755888:0.513010:0.755888:0.503368:0.750922:0.503368:0.000000
1:@0.774602:0.513010:0.779568:0.513010:0.779568:0.503368:0.774602:0.503368:0.000000
2:@0.803361:0.513010:0.808326:0.513010:0.808326:0.503368:0.803361:0.503368:0.000000
BA:@0.650104:0.510887:0.686853:0.510887:0.686853:0.494257:0.650104:0.494257:0.000000:0.000000
a:@0.713700:0.510887:0.722765:0.510887:0.722765:0.494257:0.713700:0.494257:0.000000
a bb:@0.742239:0.510887:0.803891:0.510887:0.803891:0.494257:0.742239:0.494257:0.000000:0.000000:0.000000:0.000000
. De mane-:@0.815782:0.510573:0.891764:0.510573:0.891764:0.494075:0.815782:0.494075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ra similar, por el extremo del vector  , tracemos el vector  . El vector :@0.404238:0.529803:0.895898:0.529810:0.895898:0.513312:0.404238:0.513306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.656738:0.529925:0.668009:0.529925:0.668009:0.513457:0.656738:0.513457:0.000000
B:@0.813640:0.530177:0.822829:0.530177:0.822829:0.513708:0.813640:0.513708:0.000000
resultante que une el origen con el extremo del vector trasladado   al :@0.404229:0.548794:0.895912:0.548795:0.895912:0.532297:0.404229:0.532297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.865845:0.549162:0.875035:0.549162:0.875035:0.532693:0.865845:0.532693:0.000000
extremo de   es la suma :@0.404244:0.568025:0.587987:0.568032:0.587987:0.551534:0.404244:0.551528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.493247:0.568147:0.504517:0.568147:0.504517:0.551679:0.493247:0.551679:0.000000
A  + B:@0.591411:0.568147:0.636437:0.568399:0.636437:0.551930:0.591411:0.551679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, que coincide con la representación :@0.638165:0.568032:0.895894:0.568032:0.895894:0.551534:0.638165:0.551534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del par ordenado :@0.404227:0.587262:0.532399:0.587262:0.532399:0.570764:0.404227:0.570764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.557728:0.588318:0.515873:0.588318:0.515873:0.571711:0.557728:0.571711:0.000000
+:@0.610372:0.588318:0.568517:0.588318:0.568517:0.571711:0.610372:0.571711:0.000000
+:@0.677990:0.588318:0.688778:0.588318:0.688778:0.571711:0.677990:0.571711:0.000000
(:@0.535798:0.587669:0.541870:0.587669:0.541870:0.570841:0.535798:0.570841:0.000000
,:@0.587283:0.587669:0.590093:0.587669:0.590093:0.570841:0.587283:0.570841:0.000000
)=:@0.638649:0.587669:0.660029:0.587669:0.660029:0.570841:0.638649:0.570841:0.000000:0.000000
1:@0.550146:0.589932:0.555162:0.589932:0.555162:0.580192:0.550146:0.580192:0.000000
2:@0.578877:0.589932:0.583892:0.589932:0.583892:0.580192:0.578877:0.580192:0.000000
1:@0.602796:0.589932:0.607812:0.589932:0.607812:0.580192:0.602796:0.580192:0.000000
2:@0.631845:0.589932:0.636861:0.589932:0.636861:0.580192:0.631845:0.580192:0.000000
aa bb:@0.541869:0.587787:0.632379:0.587787:0.632379:0.570989:0.541869:0.570989:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.665059:0.587787:0.699900:0.587787:0.699900:0.570989:0.665059:0.570989:0.000000:0.000000
. La figura 3.18. se muestra :@0.704040:0.587268:0.895903:0.587268:0.895903:0.570771:0.704040:0.570771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la representación geométrica de :@0.404235:0.606499:0.636107:0.606499:0.636107:0.590001:0.404235:0.590001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A  + B.:@0.639825:0.606621:0.690040:0.606621:0.690040:0.590152:0.639825:0.590152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interpretación geométrica del producto de un escalar por un :@0.404236:0.632382:0.895922:0.632382:0.895922:0.614699:0.404236:0.614699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector:@0.404236:0.650487:0.455679:0.650487:0.455679:0.632805:0.404236:0.632805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.404236:0.669081:0.442035:0.669081:0.442035:0.652583:0.404236:0.652583:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.510051:0.668792:0.523172:0.668792:0.523172:0.653240:0.510051:0.653240:0.000000
=( ,):@0.459701:0.668184:0.506757:0.668184:0.506757:0.652425:0.459701:0.652425:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.540805:0.660507:0.545502:0.660507:0.545502:0.651386:0.540805:0.651386:0.000000
A:@0.444991:0.668295:0.455757:0.668295:0.455757:0.652563:0.444991:0.652563:0.000000
a b:@0.479349:0.668295:0.501543:0.668295:0.501543:0.652563:0.479349:0.652563:0.000000:0.000000:0.000000
, :@0.548655:0.669081:0.555552:0.669081:0.555552:0.652583:0.548655:0.652583:0.000000:0.000000
λ:@0.554955:0.669630:0.565532:0.669630:0.565532:0.650790:0.554955:0.650790:0.000000
:@0.565532:0.668864:0.581580:0.668864:0.581580:0.654217:0.565532:0.654217:0.000000
R:@0.581580:0.668112:0.595489:0.668112:0.595489:0.654665:0.581580:0.654665:0.000000
. A continuación, se presenta la interpreta-:@0.595489:0.669081:0.891746:0.669081:0.891746:0.652583:0.595489:0.652583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción geométrica del producto :@0.404224:0.686432:0.623826:0.686432:0.623826:0.669934:0.404224:0.669934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.624732:0.686981:0.635308:0.686981:0.635308:0.668141:0.624732:0.668141:0.000000
A:@0.635308:0.686547:0.646579:0.686547:0.646579:0.670079:0.635308:0.670079:0.000000
. Para el efecto, trazamos el vector :@0.646579:0.686432:0.895967:0.686432:0.895967:0.669934:0.646579:0.669934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.407954:0.705784:0.419224:0.705784:0.419224:0.689315:0.407954:0.689315:0.000000
 y consideramos tres casos:  >0,  =0,  <0. Si  >0, el vector :@0.422664:0.704411:0.861389:0.704411:0.861389:0.687913:0.422664:0.687913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.624271:0.704960:0.634847:0.704960:0.634847:0.686120:0.624271:0.686120:0.000000
λ:@0.662439:0.704960:0.673016:0.704960:0.673016:0.686120:0.662439:0.686120:0.000000
λ:@0.700623:0.704960:0.711200:0.704960:0.711200:0.686120:0.700623:0.686120:0.000000
λ:@0.756165:0.704960:0.766741:0.704960:0.766741:0.686120:0.756165:0.686120:0.000000
λ:@0.862796:0.704960:0.873372:0.704960:0.873372:0.686120:0.862796:0.686120:0.000000
A:@0.877059:0.705784:0.888329:0.705784:0.888329:0.689315:0.877059:0.689315:0.000000
 :@0.891769:0.704411:0.895911:0.704411:0.895911:0.687913:0.891769:0.687913:0.000000
tiene la misma dirección y sentido que el vector :@0.404243:0.722384:0.746317:0.722384:0.746317:0.705886:0.404243:0.705886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A .:@0.749952:0.723763:0.767515:0.722506:0.767515:0.706037:0.749952:0.707295:0.000000:0.000000:0.000000
 Si  = 0, :@0.767515:0.722390:0.832959:0.722390:0.832959:0.705893:0.767515:0.705893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ :@0.787416:0.722940:0.802809:0.722940:0.802809:0.704100:0.787416:0.704100:0.000000:0.000000
λ:@0.832863:0.722940:0.843440:0.722940:0.843440:0.704100:0.832863:0.704100:0.000000
A  = 0, :@0.847154:0.723763:0.895906:0.722506:0.895906:0.706037:0.847154:0.707295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A  = 0 :@0.407954:0.741743:0.454740:0.740486:0.454740:0.724017:0.407954:0.725274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es el origen del sistema de coordenadas rectangulares. Si  <0, :@0.455087:0.740370:0.895834:0.740370:0.895834:0.723872:0.455087:0.723872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.859057:0.740919:0.869633:0.740919:0.869633:0.722079:0.859057:0.722079:0.000000
el vector :@0.404227:0.758342:0.471933:0.758342:0.471933:0.741845:0.404227:0.741845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.474006:0.758892:0.484582:0.758892:0.484582:0.740052:0.474006:0.740052:0.000000
A:@0.488306:0.759722:0.499577:0.759722:0.499577:0.743253:0.488306:0.743253:0.000000
 tiene la misma dirección que :@0.503017:0.758349:0.725536:0.758349:0.725536:0.741852:0.503017:0.741852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.731323:0.759722:0.742594:0.759722:0.742594:0.743253:0.731323:0.743253:0.000000
, pero es de sentido :@0.746034:0.758349:0.895912:0.758349:0.895912:0.741852:0.746034:0.741852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
opuesto a :@0.404229:0.776322:0.480443:0.776322:0.480443:0.759824:0.404229:0.759824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A .:@0.485631:0.777702:0.503193:0.776444:0.503193:0.759976:0.485631:0.761233:0.000000:0.000000:0.000000
 En los tres casos, :@0.503193:0.776329:0.634464:0.776329:0.634464:0.759831:0.503193:0.759831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.635928:0.776878:0.646505:0.776878:0.646505:0.758038:0.635928:0.758038:0.000000
A  = ( a,  b).:@0.650227:0.777702:0.748298:0.776444:0.748298:0.759976:0.650227:0.761233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ λ:@0.692467:0.776878:0.730747:0.776878:0.730747:0.758038:0.692467:0.758038:0.000000:0.000000:0.000000
 En la figura 3.19. se :@0.748298:0.776329:0.895908:0.776329:0.895908:0.759831:0.748298:0.759831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestran el caso  <0 y el caso  >0.:@0.404240:0.793679:0.659057:0.793679:0.659057:0.777182:0.404240:0.777182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.528344:0.794229:0.538921:0.794229:0.538921:0.775389:0.528344:0.775389:0.000000
λ:@0.626422:0.794229:0.636999:0.794229:0.636999:0.775389:0.626422:0.775389:0.000000
Saberes previos:@0.199646:0.115710:0.307805:0.115710:0.307805:0.100238:0.199646:0.100238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es la norma de un :@0.199884:0.144338:0.357596:0.144338:0.357596:0.129274:0.199884:0.129274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector?:@0.153341:0.160180:0.199831:0.160180:0.199831:0.145116:0.153341:0.145116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199644:0.203768:0.363492:0.203768:0.363492:0.188295:0.199644:0.188295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo se determina la :@0.199880:0.232395:0.352173:0.232395:0.352173:0.217332:0.199880:0.217332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adición de vectores en  ?:@0.153337:0.248237:0.325497:0.248237:0.325497:0.233174:0.153337:0.233174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.303063:0.247353:0.315763:0.247353:0.315763:0.235075:0.303063:0.235075:0.000000
2:@0.315767:0.242437:0.320289:0.242437:0.320289:0.233655:0.315767:0.233655:0.000000
y:@0.161516:0.535025:0.169257:0.535025:0.169257:0.518810:0.161516:0.518810:0.000000
x:@0.339192:0.637523:0.346691:0.637523:0.346691:0.621308:0.339192:0.621308:0.000000
0:@0.178580:0.635805:0.186824:0.635805:0.186824:0.619590:0.178580:0.619590:0.000000
a:@0.295033:0.635805:0.304021:0.635805:0.304021:0.619590:0.295033:0.619590:0.000000
b:@0.160790:0.578334:0.169983:0.578334:0.169983:0.562119:0.160790:0.562119:0.000000
A = (a, b):@0.284985:0.570373:0.352088:0.570373:0.352088:0.554159:0.284985:0.554159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.215388:0.600107:0.226553:0.600107:0.226553:0.583893:0.215388:0.583893:0.000000
p:@0.302154:0.660977:0.313634:0.660977:0.313634:0.650952:0.302154:0.650952:0.000000
 :@0.313634:0.661685:0.316516:0.661685:0.316516:0.650208:0.313634:0.650208:0.000000
Figura 3.17.:@0.316516:0.661685:0.370994:0.661685:0.370994:0.650208:0.316516:0.650208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.357514:0.851537:0.362920:0.851537:0.362920:0.839849:0.357514:0.839849:0.000000
y:@0.176509:0.724646:0.182710:0.724646:0.182710:0.711658:0.176509:0.711658:0.000000
B:@0.206752:0.762893:0.214204:0.762893:0.214204:0.749905:0.206752:0.749905:0.000000
A:@0.215723:0.863924:0.223772:0.863924:0.223772:0.852235:0.215723:0.852235:0.000000
A:@0.261018:0.815224:0.269961:0.815224:0.269961:0.802236:0.261018:0.802236:0.000000
+ B:@0.271242:0.811203:0.285977:0.811203:0.285977:0.801312:0.271242:0.801312:0.000000:0.000000:0.000000
B:@0.241458:0.798188:0.248911:0.798188:0.248911:0.785200:0.241458:0.785200:0.000000
+ A:@0.249739:0.793461:0.265609:0.793461:0.265609:0.783570:0.249739:0.783570:0.000000:0.000000:0.000000
a:@0.225481:0.849767:0.235905:0.849767:0.235905:0.838078:0.225481:0.838078:0.000000:0.000000
a:@0.277718:0.849767:0.288141:0.849767:0.288141:0.838078:0.277718:0.838078:0.000000:0.000000
b:@0.172247:0.742874:0.183993:0.742874:0.183993:0.729886:0.172247:0.729886:0.000000:0.000000
b:@0.174325:0.869630:0.184895:0.869630:0.184895:0.857941:0.174325:0.857941:0.000000:0.000000
a+ a:@0.316278:0.849766:0.347830:0.849766:0.347830:0.838077:0.316278:0.838077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b+ b:@0.148673:0.765856:0.184058:0.765856:0.184058:0.752869:0.148673:0.752869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.178215:0.850950:0.184157:0.850950:0.184157:0.839261:0.178215:0.839261:0.000000
p:@0.302154:0.901026:0.313634:0.901026:0.313634:0.891001:0.302154:0.891001:0.000000
 :@0.313634:0.901734:0.316516:0.901734:0.316516:0.890257:0.313634:0.890257:0.000000
Figura 3.18.:@0.316516:0.901734:0.370994:0.901734:0.370994:0.890257:0.316516:0.890257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.523307:0.864536:0.530325:0.864536:0.530325:0.853633:0.523307:0.853633:0.000000
λ:@0.603553:0.892509:0.610570:0.892509:0.610570:0.881607:0.603553:0.881607:0.000000
λ:@0.466734:0.846788:0.473751:0.846788:0.473751:0.835885:0.466734:0.835885:0.000000
y:@0.472790:0.819176:0.478108:0.819176:0.478108:0.807934:0.472790:0.807934:0.000000
x:@0.638561:0.892696:0.643712:0.892696:0.643712:0.881454:0.638561:0.881454:0.000000
b:@0.474056:0.846616:0.480370:0.846616:0.480370:0.835375:0.474056:0.835375:0.000000
A:@0.533147:0.864364:0.540817:0.864364:0.540817:0.853123:0.533147:0.853123:0.000000
A:@0.434109:0.895112:0.441778:0.895112:0.441778:0.883870:0.434109:0.883870:0.000000
b:@0.488387:0.904168:0.494701:0.904168:0.494701:0.892926:0.488387:0.892926:0.000000
a:@0.420284:0.879419:0.426458:0.879419:0.426458:0.868178:0.420284:0.868178:0.000000
a:@0.612015:0.892326:0.618189:0.892326:0.618189:0.881085:0.612015:0.881085:0.000000
λ:@0.470057:0.924124:0.477075:0.924124:0.477075:0.913221:0.470057:0.913221:0.000000
 < 0:@0.477075:0.923950:0.495800:0.923950:0.495800:0.912708:0.477075:0.912708:0.000000:0.000000:0.000000:0.000000
λ:@0.701889:0.880196:0.709223:0.880196:0.709223:0.868511:0.701889:0.868511:0.000000
λ:@0.825819:0.895887:0.833152:0.895887:0.833152:0.884202:0.825819:0.884202:0.000000
λ:@0.676657:0.848036:0.683990:0.848036:0.683990:0.836352:0.676657:0.836352:0.000000
y:@0.806175:0.823631:0.811731:0.823631:0.811731:0.811582:0.806175:0.811582:0.000000
x:@0.874043:0.863843:0.879426:0.863843:0.879426:0.851795:0.874043:0.851795:0.000000
a:@0.685263:0.847846:0.691714:0.847846:0.691714:0.835798:0.685263:0.835798:0.000000
a:@0.763470:0.847846:0.769922:0.847846:0.769922:0.835798:0.763470:0.835798:0.000000
b:@0.826183:0.870209:0.832781:0.870209:0.832781:0.858161:0.826183:0.858161:0.000000
A:@0.798626:0.873717:0.806641:0.873717:0.806641:0.861669:0.798626:0.861669:0.000000
A:@0.710571:0.880009:0.718585:0.880009:0.718585:0.867961:0.710571:0.867961:0.000000
b:@0.834347:0.895698:0.840946:0.895698:0.840946:0.883650:0.834347:0.883650:0.000000
λ:@0.808527:0.915342:0.815861:0.915342:0.815861:0.903657:0.808527:0.903657:0.000000
 > 0:@0.815861:0.915155:0.835429:0.915155:0.835429:0.903107:0.815861:0.903107:0.000000:0.000000:0.000000:0.000000
p:@0.822929:0.938448:0.834409:0.938448:0.834409:0.928423:0.822929:0.928423:0.000000
 :@0.834409:0.939155:0.837291:0.939155:0.837291:0.927679:0.834409:0.927679:0.000000
Figura 3.19.:@0.837291:0.939155:0.891769:0.939155:0.891769:0.927679:0.837291:0.927679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.200180:0.324300:0.297803:0.324300:0.297803:0.308828:0.200180:0.308828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.200180:0.336868:0.284243:0.336868:0.284243:0.321396:0.200180:0.321396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El punto   = ( ,  )     :@0.200418:0.361343:0.364197:0.361343:0.364197:0.346280:0.200418:0.346280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.259433:0.361448:0.269723:0.361448:0.269723:0.346412:0.259433:0.346412:0.000000
a b:@0.292590:0.361448:0.315545:0.361448:0.315545:0.346412:0.292590:0.346412:0.000000:0.000000:0.000000
:@0.324762:0.361145:0.339414:0.361145:0.339414:0.347771:0.324762:0.347771:0.000000
R:@0.343196:0.360458:0.355896:0.360458:0.355896:0.348181:0.343196:0.348181:0.000000
2:@0.355894:0.355543:0.360416:0.355543:0.360416:0.346762:0.355894:0.346762:0.000000
se representa en la forma ha-:@0.153873:0.377185:0.340713:0.377185:0.340713:0.362122:0.153873:0.362122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bitual como punto del plano y :@0.153873:0.393027:0.355594:0.393027:0.355594:0.377964:0.153873:0.377964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luego se identifica con el vector :@0.153873:0.408869:0.362892:0.408869:0.362892:0.393806:0.153873:0.393806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.157597:0.428290:0.168868:0.428290:0.168868:0.411821:0.157597:0.411821:0.000000
 que, a su vez se identifica :@0.172308:0.426597:0.342278:0.426597:0.342278:0.411533:0.172308:0.411533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el vector geométrico :@0.153873:0.445581:0.320396:0.445581:0.320396:0.430517:0.153873:0.430517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
OA:@0.322967:0.446018:0.345854:0.446018:0.345854:0.429549:0.322967:0.429549:0.000000:0.000000
.:@0.348881:0.445582:0.351397:0.445582:0.351397:0.430519:0.348881:0.430519:0.000000