﻿79:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
Taller:@0.180761:0.130781:0.241656:0.130781:0.241656:0.096834:0.180761:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.6.1. Grafica vectores en el plano; halla su módulo y realiza operaciones de suma, resta y producto por un escalar; resuelve :@0.261782:0.113525:0.882466:0.113525:0.882466:0.103096:0.261782:0.103096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas aplicados a la geometría y a la física. (I.2.):@0.261782:0.124087:0.502563:0.124087:0.502563:0.113657:0.261782:0.113657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.120126:0.173275:0.138866:0.173275:0.138866:0.156139:0.120126:0.156139:0.000000:0.000000:0.000000
Realiza:@0.153369:0.173275:0.206901:0.173275:0.206901:0.156651:0.153369:0.156651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la representación geométrica de::@0.206901:0.173275:0.451985:0.173275:0.451985:0.156886:0.206901:0.156886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153369:0.217159:0.172092:0.217159:0.172092:0.200258:0.153369:0.200258:0.000000:0.000000:0.000000
 :@0.189958:0.208523:0.246188:0.208523:0.246188:0.191775:0.189958:0.191775:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.196758:0.208523:0.204313:0.208523:0.204313:0.191775:0.196758:0.191775:0.000000
:@0.232728:0.208523:0.240284:0.208523:0.240284:0.191775:0.232728:0.191775:0.000000
≠:@0.212513:0.220348:0.222630:0.220348:0.222630:0.204775:0.212513:0.204775:0.000000
AB CD:@0.190677:0.219671:0.246278:0.219671:0.246278:0.204277:0.190677:0.204277:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153366:0.353013:0.155299:0.353013:0.155299:0.343474:0.153366:0.343474:0.000000
b) :@0.153366:0.390579:0.173397:0.390579:0.173397:0.373679:0.153366:0.373679:0.000000:0.000000:0.000000
  :@0.189958:0.380686:0.246199:0.380686:0.246199:0.363937:0.189958:0.363937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.196758:0.380686:0.204313:0.380686:0.204313:0.363937:0.196758:0.363937:0.000000
:@0.232728:0.380686:0.240284:0.380686:0.240284:0.363937:0.232728:0.363937:0.000000
=:@0.212513:0.392511:0.222630:0.392511:0.222630:0.376938:0.212513:0.376938:0.000000
AB CD:@0.190677:0.391833:0.246291:0.391833:0.246291:0.375472:0.190677:0.375472:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.250267:0.390579:0.254302:0.390579:0.254302:0.374190:0.250267:0.374190:0.000000
 :@0.153366:0.526432:0.155299:0.526432:0.155299:0.516894:0.153366:0.516894:0.000000
c) :@0.153366:0.563999:0.171001:0.563999:0.171001:0.547098:0.153366:0.547098:0.000000:0.000000:0.000000
 :@0.189958:0.554104:0.235732:0.554104:0.235732:0.537355:0.189958:0.537355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.222262:0.554104:0.229817:0.554104:0.229817:0.537355:0.222262:0.537355:0.000000
,:@0.210165:0.565256:0.213371:0.565256:0.213371:0.548867:0.210165:0.548867:0.000000
AB CD:@0.190687:0.565256:0.235834:0.565256:0.235834:0.548895:0.190687:0.548895:0.000000:0.000000:0.000000:0.000000:0.000000
 de la misma dirección, pero sentido :@0.239852:0.563998:0.496364:0.563998:0.496364:0.547609:0.239852:0.547609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
opuesto.:@0.186614:0.580594:0.250447:0.580594:0.250447:0.564205:0.186614:0.564205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153366:0.713934:0.155299:0.713934:0.155299:0.704395:0.153366:0.704395:0.000000
d) :@0.153366:0.752757:0.173433:0.752757:0.173433:0.735857:0.153366:0.735857:0.000000:0.000000:0.000000
 :@0.189958:0.741605:0.235732:0.741605:0.235732:0.724857:0.189958:0.724857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.222262:0.741605:0.229817:0.741605:0.229817:0.724857:0.222262:0.724857:0.000000
,:@0.210165:0.752757:0.213371:0.752757:0.213371:0.736368:0.210165:0.736368:0.000000
AB CD:@0.190687:0.752757:0.235834:0.752757:0.235834:0.736396:0.190687:0.736396:0.000000:0.000000:0.000000:0.000000:0.000000
 de la misma dirección y sentido, :@0.240220:0.752757:0.496364:0.752757:0.496364:0.736368:0.240220:0.736368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pero diferente longitud.:@0.186614:0.769354:0.360588:0.769354:0.360588:0.752965:0.186614:0.752965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153366:0.902691:0.155299:0.902691:0.155299:0.893152:0.153366:0.893152:0.000000
e) :@0.545667:0.174218:0.564537:0.174218:0.564537:0.157317:0.545667:0.157317:0.000000:0.000000:0.000000
 :@0.582257:0.163067:0.628031:0.163067:0.628031:0.146318:0.582257:0.146318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.614561:0.163067:0.622116:0.163067:0.622116:0.146318:0.614561:0.146318:0.000000
,:@0.602466:0.174218:0.605672:0.174218:0.605672:0.157829:0.602466:0.157829:0.000000
AB CD:@0.582988:0.174218:0.628135:0.174218:0.628135:0.157857:0.582988:0.157857:0.000000:0.000000:0.000000:0.000000:0.000000
 de la misma longitud, pero:@0.632514:0.174218:0.833171:0.174218:0.833171:0.157829:0.632514:0.157829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferente dirección.:@0.578908:0.194383:0.720101:0.194383:0.720101:0.177994:0.578908:0.177994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545667:0.327716:0.547600:0.327716:0.547600:0.318177:0.545667:0.318177:0.000000
2. :@0.512425:0.365109:0.531166:0.365109:0.531166:0.347973:0.512425:0.347973:0.000000:0.000000:0.000000
Indica:@0.545668:0.365109:0.592327:0.365109:0.592327:0.348485:0.545668:0.348485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 qué vectores tienen la misma longitud, :@0.592327:0.365109:0.888697:0.365109:0.888697:0.348720:0.592327:0.348720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el  mismo sentido, sentido  opuesto y cuáles :@0.545668:0.381705:0.888715:0.381705:0.888715:0.365316:0.545668:0.365316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son iguales.:@0.545668:0.398302:0.631005:0.398302:0.631005:0.381913:0.545668:0.381913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.545668:0.429171:0.564391:0.429171:0.564391:0.412270:0.545668:0.412270:0.000000:0.000000:0.000000
C:@0.781559:0.438896:0.788243:0.438896:0.788243:0.428467:0.781559:0.428467:0.000000
B:@0.681601:0.424154:0.687523:0.424154:0.687523:0.413725:0.681601:0.413725:0.000000
A:@0.681132:0.511320:0.687992:0.511320:0.687992:0.500891:0.681132:0.500891:0.000000
D:@0.781101:0.511320:0.788689:0.511320:0.788689:0.500891:0.781101:0.500891:0.000000
 :@0.545667:0.639266:0.549702:0.639266:0.549702:0.622877:0.545667:0.622877:0.000000
b) :@0.545667:0.674557:0.565697:0.674557:0.565697:0.657656:0.545667:0.657656:0.000000:0.000000:0.000000
E:@0.698581:0.672489:0.704045:0.672489:0.704045:0.662059:0.698581:0.662059:0.000000
D:@0.765224:0.678060:0.772811:0.678060:0.772811:0.667631:0.765224:0.667631:0.000000
C:@0.795525:0.719724:0.802209:0.719724:0.802209:0.709295:0.795525:0.709295:0.000000
B:@0.765446:0.763730:0.771368:0.763730:0.771368:0.753301:0.765446:0.753301:0.000000
A:@0.701032:0.763730:0.707892:0.763730:0.707892:0.753301:0.701032:0.753301:0.000000
F:@0.660152:0.720464:0.665570:0.720464:0.665570:0.710034:0.660152:0.710034:0.000000
 :@0.545667:0.912182:0.549702:0.912182:0.549702:0.895793:0.545667:0.895793:0.000000
   :@0.598619:0.536420:0.697778:0.536420:0.697778:0.519671:0.598619:0.519671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.682834:0.536420:0.695936:0.536420:0.695936:0.519671:0.682834:0.519671:0.000000:0.000000
 :@0.598619:0.580425:0.645536:0.580425:0.645536:0.563677:0.598619:0.563677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.630591:0.580425:0.643693:0.580425:0.643693:0.563677:0.630591:0.563677:0.000000:0.000000
 :@0.598601:0.603688:0.644375:0.603688:0.644375:0.586940:0.598601:0.586940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.630904:0.603688:0.638460:0.603688:0.638460:0.586940:0.630904:0.586940:0.000000
 :@0.598601:0.626951:0.645518:0.626951:0.645518:0.610202:0.598601:0.610202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.630573:0.626951:0.643675:0.626951:0.643675:0.610202:0.630573:0.610202:0.000000:0.000000
,:@0.618798:0.547578:0.622004:0.547578:0.622004:0.531190:0.618798:0.531190:0.000000
,:@0.645554:0.547578:0.648761:0.547578:0.648761:0.531190:0.645554:0.531190:0.000000
,:@0.670727:0.547578:0.673933:0.547578:0.673933:0.531190:0.670727:0.531190:0.000000
.:@0.698165:0.547578:0.701372:0.547578:0.701372:0.531190:0.698165:0.531190:0.000000
Tienenlamisma:@0.702293:0.547578:0.817890:0.547578:0.817890:0.531190:0.702293:0.531190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.751292:0.547578:0.754499:0.547578:0.754499:0.531190:0.751292:0.531190:0.000000
.:@0.766219:0.547578:0.769425:0.547578:0.769425:0.531190:0.766219:0.531190:0.000000
longitud:@0.597090:0.568324:0.658786:0.568324:0.658786:0.551935:0.597090:0.551935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.618503:0.591587:0.621709:0.591587:0.621709:0.575198:0.618503:0.575198:0.000000
.:@0.645941:0.591587:0.649148:0.591587:0.649148:0.575198:0.645941:0.575198:0.000000
Tienenel mismo sentido:@0.650069:0.591587:0.824450:0.591587:0.824450:0.575198:0.650069:0.575198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.699068:0.591587:0.702275:0.591587:0.702275:0.575198:0.699068:0.575198:0.000000
.:@0.714732:0.591587:0.717938:0.591587:0.717938:0.575198:0.714732:0.575198:0.000000
.:@0.767619:0.591587:0.770826:0.591587:0.770826:0.575198:0.767619:0.575198:0.000000
,:@0.618853:0.614849:0.622059:0.614849:0.622059:0.598460:0.618853:0.598460:0.000000
.:@0.644817:0.614849:0.648024:0.614849:0.648024:0.598460:0.644817:0.598460:0.000000
Tienenel sentido opuesto:@0.648945:0.614849:0.832798:0.614849:0.832798:0.598460:0.648945:0.598460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. .:@0.697944:0.614849:0.716814:0.614849:0.716814:0.598460:0.697944:0.598460:0.000000:0.000000:0.000000
.:@0.770217:0.614849:0.773424:0.614849:0.773424:0.598460:0.770217:0.598460:0.000000
,:@0.618558:0.638112:0.621764:0.638112:0.621764:0.621723:0.618558:0.621723:0.000000
.:@0.645997:0.638112:0.649203:0.638112:0.649203:0.621723:0.645997:0.621723:0.000000
Soniguales:@0.649406:0.638112:0.730948:0.638112:0.730948:0.621723:0.649406:0.621723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.676992:0.638112:0.680198:0.638112:0.680198:0.621723:0.676992:0.621723:0.000000
AB CD BC AD:@0.599430:0.547592:0.697981:0.547592:0.697981:0.531231:0.599430:0.531231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
BC AD:@0.597974:0.591600:0.645739:0.591600:0.645739:0.575239:0.597974:0.575239:0.000000:0.000000:0.000000:0.000000:0.000000
AB CD:@0.599449:0.614863:0.644596:0.614863:0.644596:0.598502:0.599449:0.598502:0.000000:0.000000:0.000000:0.000000:0.000000
BC AD:@0.597974:0.638126:0.645739:0.638126:0.645739:0.621764:0.597974:0.621764:0.000000:0.000000:0.000000:0.000000:0.000000
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maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000