﻿A 71:@0.925269:0.967627:0.939026:0.966558:0.939026:0.950778:0.925269:0.951847:0.000000:0.000000:0.000000:0.000000
Reemplazamos,:@0.108231:0.083721:0.219544:0.083721:0.219544:0.067223:0.108231:0.067223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.110377:0.109713:0.118161:0.109713:0.118161:0.093244:0.110377:0.093244:0.000000
x:@0.119748:0.111883:0.124075:0.111883:0.124075:0.102351:0.119748:0.102351:0.000000
=:@0.130061:0.109568:0.145050:0.109568:0.145050:0.092174:0.130061:0.092174:0.000000
80:@0.149905:0.109539:0.166280:0.109539:0.166280:0.093099:0.149905:0.093099:0.000000:0.000000
km:@0.171694:0.100719:0.194504:0.100719:0.194504:0.084250:0.171694:0.084250:0.000000:0.000000
h:@0.178302:0.120918:0.187703:0.120918:0.187703:0.104450:0.178302:0.104450:0.000000
⋅:@0.198433:0.109568:0.203789:0.109568:0.203789:0.092174:0.198433:0.092174:0.000000
 :@0.204771:0.109539:0.208586:0.109539:0.208586:0.093099:0.204771:0.093099:0.000000
sen:@0.208374:0.109713:0.230972:0.109713:0.230972:0.093244:0.208374:0.093244:0.000000:0.000000:0.000000
30:@0.237830:0.109539:0.254206:0.109539:0.254206:0.093099:0.237830:0.093099:0.000000:0.000000
° =:@0.253859:0.109568:0.286504:0.109568:0.286504:0.092174:0.253859:0.092174:0.000000:0.000000:0.000000
(:@0.230366:0.111010:0.237861:0.111010:0.237861:0.090311:0.230366:0.090311:0.000000
):@0.260940:0.111010:0.268435:0.111010:0.268435:0.090311:0.260940:0.090311:0.000000
40:@0.291359:0.109539:0.307156:0.109539:0.307156:0.093099:0.291359:0.093099:0.000000:0.000000
km:@0.312570:0.100719:0.335380:0.100719:0.335380:0.084250:0.312570:0.084250:0.000000:0.000000
h:@0.319178:0.120918:0.328579:0.120918:0.328579:0.104450:0.319178:0.104450:0.000000
Cos:@0.111372:0.150481:0.137496:0.150481:0.137496:0.134041:0.111372:0.134041:0.000000:0.000000:0.000000
θ:@0.142181:0.151175:0.152218:0.151175:0.157641:0.134894:0.147604:0.134894:0.000000
( ):@0.137339:0.151951:0.163000:0.151951:0.163000:0.131252:0.137339:0.131252:0.000000:0.000000:0.000000
=:@0.166079:0.150510:0.181067:0.150510:0.181067:0.133115:0.166079:0.133115:0.000000
v:@0.186597:0.139882:0.194380:0.139882:0.194380:0.123414:0.186597:0.123414:0.000000
y:@0.195605:0.142058:0.200054:0.142058:0.200054:0.132526:0.195605:0.132526:0.000000
v:@0.190266:0.161852:0.198049:0.161852:0.198049:0.145383:0.190266:0.145383:0.000000
Despejamos,:@0.108231:0.181916:0.198123:0.181916:0.198123:0.165418:0.108231:0.165418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.110377:0.207336:0.118161:0.207336:0.118161:0.190867:0.110377:0.190867:0.000000
y:@0.119382:0.209506:0.123831:0.209506:0.123831:0.199974:0.119382:0.199974:0.000000
=:@0.127967:0.207191:0.142956:0.207191:0.142956:0.189797:0.127967:0.189797:0.000000
v cos:@0.146963:0.207336:0.181274:0.207336:0.181274:0.190867:0.146963:0.190867:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.156075:0.207162:0.159890:0.207162:0.159890:0.190723:0.156075:0.190723:0.000000
θ:@0.185685:0.207856:0.195722:0.207856:0.201145:0.191576:0.191108:0.191576:0.000000
( ):@0.180843:0.208633:0.206504:0.208633:0.206504:0.187934:0.180843:0.187934:0.000000:0.000000:0.000000
v:@0.110377:0.240693:0.118161:0.240693:0.118161:0.224225:0.110377:0.224225:0.000000
y:@0.119382:0.242864:0.123831:0.242864:0.123831:0.233331:0.119382:0.233331:0.000000
=:@0.127967:0.240549:0.142956:0.240549:0.142956:0.223155:0.127967:0.223155:0.000000
80   :@0.147811:0.240520:0.180696:0.240520:0.180696:0.224080:0.147811:0.224080:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.170544:0.240549:0.175899:0.240549:0.175899:0.223155:0.170544:0.223155:0.000000
cos:@0.180484:0.240693:0.202081:0.240693:0.202081:0.224225:0.180484:0.224225:0.000000:0.000000:0.000000
30:@0.209113:0.240520:0.225488:0.240520:0.225488:0.224080:0.209113:0.224080:0.000000:0.000000
° =:@0.225141:0.240549:0.257762:0.240549:0.257762:0.223155:0.225141:0.223155:0.000000:0.000000:0.000000
(:@0.201626:0.241991:0.209120:0.241991:0.209120:0.221292:0.201626:0.221292:0.000000
):@0.232200:0.241991:0.239694:0.241991:0.239694:0.221292:0.232200:0.221292:0.000000
69,28 :@0.262616:0.240520:0.304557:0.240520:0.304557:0.224080:0.262616:0.224080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
km:@0.307813:0.231700:0.330623:0.231700:0.330623:0.215231:0.307813:0.215231:0.000000:0.000000
h:@0.314390:0.251891:0.323791:0.251891:0.323791:0.235422:0.314390:0.235422:0.000000
Para encontrar la posición a los 20 minutos, aplicamos la ecuación :@0.108231:0.277497:0.599871:0.277497:0.599871:0.260999:0.108231:0.260999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estudiada anteriormente.:@0.108231:0.294848:0.286028:0.294848:0.286028:0.278350:0.108231:0.278350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para la dirección x::@0.108231:0.329549:0.239194:0.329549:0.239194:0.313052:0.108231:0.313052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.129852:0.355756:0.144189:0.355756:0.144189:0.337362:0.129852:0.337362:0.000000
v:@0.108244:0.354912:0.115947:0.354912:0.120573:0.339132:0.112870:0.339132:0.000000
d:@0.146566:0.346229:0.155835:0.346229:0.160460:0.330449:0.151191:0.330449:0.000000
t:@0.151643:0.365678:0.157614:0.365678:0.162240:0.349898:0.156269:0.349898:0.000000
x:@0.118724:0.357244:0.123590:0.357244:0.126534:0.347202:0.121667:0.347202:0.000000
x:@0.157729:0.348558:0.162595:0.348558:0.165539:0.338516:0.160672:0.338516:0.000000
=:@0.131318:0.386308:0.145655:0.386308:0.145655:0.367914:0.131318:0.367914:0.000000
⋅:@0.166294:0.386308:0.171416:0.386308:0.171416:0.367914:0.166294:0.367914:0.000000
d:@0.109029:0.385465:0.118299:0.385465:0.122924:0.369684:0.113655:0.369684:0.000000
v t:@0.145571:0.385465:0.176042:0.385465:0.180667:0.369684:0.150197:0.369684:0.000000:0.000000:0.000000
x:@0.120190:0.387797:0.125056:0.387797:0.128000:0.377755:0.123133:0.377755:0.000000
x:@0.156050:0.387797:0.160916:0.387797:0.163860:0.377755:0.158993:0.377755:0.000000
=:@0.131318:0.418118:0.145655:0.418118:0.145655:0.399724:0.131318:0.399724:0.000000
⋅:@0.198321:0.418118:0.203444:0.418118:0.203444:0.399724:0.198321:0.399724:0.000000
d:@0.109029:0.417274:0.118299:0.417274:0.122924:0.401494:0.113655:0.401494:0.000000
km:@0.171650:0.408589:0.193542:0.408589:0.198167:0.392808:0.176275:0.392808:0.000000:0.000000
h:@0.177925:0.428041:0.187157:0.428041:0.191782:0.412260:0.182550:0.412260:0.000000
h:@0.220330:0.417281:0.229562:0.417281:0.234187:0.401500:0.224955:0.401500:0.000000
40:@0.148541:0.417274:0.164720:0.417274:0.164720:0.401494:0.148541:0.401494:0.000000:0.000000
1:@0.206330:0.408589:0.214457:0.408589:0.214457:0.392808:0.206330:0.392808:0.000000
3:@0.205972:0.428041:0.214098:0.428041:0.214098:0.412260:0.205972:0.412260:0.000000
x:@0.120190:0.419607:0.125056:0.419607:0.128000:0.409565:0.123133:0.409565:0.000000
=:@0.131318:0.448670:0.145655:0.448670:0.145655:0.430276:0.131318:0.430276:0.000000
d:@0.109029:0.447827:0.118299:0.447827:0.122924:0.432046:0.113655:0.432046:0.000000
km:@0.187918:0.447827:0.209810:0.447827:0.214436:0.432046:0.192544:0.432046:0.000000:0.000000
13,33:@0.147390:0.447827:0.184522:0.447827:0.184522:0.432046:0.147390:0.432046:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.120190:0.450159:0.125056:0.450159:0.128000:0.440117:0.123133:0.440117:0.000000
Para la dirección y::@0.108231:0.485203:0.239310:0.485203:0.239310:0.468705:0.108231:0.468705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.129852:0.512667:0.144189:0.512667:0.144189:0.494273:0.129852:0.494273:0.000000
v:@0.108244:0.511823:0.115947:0.511823:0.120573:0.496043:0.112870:0.496043:0.000000
d:@0.146566:0.501177:0.155835:0.501177:0.160460:0.485396:0.151191:0.485396:0.000000
t:@0.151643:0.522590:0.157614:0.522590:0.162240:0.506809:0.156269:0.506809:0.000000
y:@0.118724:0.514156:0.123485:0.514156:0.126428:0.504114:0.121667:0.504114:0.000000
y:@0.157729:0.503506:0.162490:0.503506:0.165434:0.493464:0.160673:0.493464:0.000000
=:@0.131318:0.543219:0.145655:0.543219:0.145655:0.524825:0.131318:0.524825:0.000000
⋅:@0.166294:0.543219:0.171416:0.543219:0.171416:0.524825:0.166294:0.524825:0.000000
d:@0.109029:0.542376:0.118299:0.542376:0.122924:0.526595:0.113655:0.526595:0.000000
v t:@0.145571:0.542376:0.176042:0.542376:0.180667:0.526595:0.150197:0.526595:0.000000:0.000000:0.000000
y:@0.120190:0.544708:0.124951:0.544708:0.127894:0.534666:0.123133:0.534666:0.000000
y:@0.156050:0.544708:0.160811:0.544708:0.163755:0.534666:0.158993:0.534666:0.000000
=:@0.131318:0.577544:0.145655:0.577544:0.145655:0.559149:0.131318:0.559149:0.000000
⋅:@0.219642:0.577544:0.224764:0.577544:0.224764:0.559149:0.219642:0.559149:0.000000
d:@0.109029:0.576700:0.118299:0.576700:0.122924:0.560920:0.113655:0.560920:0.000000
km:@0.192952:0.568015:0.214844:0.568015:0.219470:0.552234:0.197578:0.552234:0.000000:0.000000
h:@0.199230:0.587466:0.208462:0.587466:0.213088:0.571686:0.203856:0.571686:0.000000
h:@0.236660:0.576706:0.245892:0.576706:0.250518:0.560926:0.241285:0.560926:0.000000
69,28:@0.148541:0.576700:0.186041:0.576700:0.186041:0.560920:0.148541:0.560920:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.227651:0.568015:0.235777:0.568015:0.235777:0.552234:0.227651:0.552234:0.000000
3:@0.227277:0.587466:0.235404:0.587466:0.235404:0.571686:0.227277:0.571686:0.000000
y:@0.120190:0.579032:0.124951:0.579032:0.127894:0.568990:0.123133:0.568990:0.000000
=:@0.131318:0.608096:0.145655:0.608096:0.145655:0.589702:0.131318:0.589702:0.000000
d:@0.109029:0.607252:0.118299:0.607252:0.122924:0.591472:0.113655:0.591472:0.000000
km:@0.189448:0.607252:0.211321:0.607252:0.215947:0.591472:0.194073:0.591472:0.000000:0.000000
23,09:@0.148176:0.607252:0.185676:0.607252:0.185676:0.591472:0.148176:0.591472:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.120190:0.609585:0.124951:0.609585:0.127894:0.599543:0.123133:0.599543:0.000000
Recuerda transformar los 20 minutos a horas: :@0.108231:0.633565:0.433292:0.633565:0.433292:0.617067:0.108231:0.617067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.451940:0.632147:0.461172:0.632147:0.465798:0.616367:0.456566:0.616367:0.000000
1:@0.437949:0.623464:0.446075:0.623464:0.446075:0.607684:0.437949:0.607684:0.000000
3:@0.437582:0.642913:0.445708:0.642913:0.445708:0.627133:0.437582:0.627133:0.000000
Dado que se desplaza hacia la izquierda y hacia arriba, el vector des-:@0.108231:0.674225:0.595757:0.674225:0.595757:0.657727:0.108231:0.657727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plazamiento es::@0.108231:0.690563:0.218272:0.690563:0.218272:0.674065:0.108231:0.674065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.123831:0.729098:0.138168:0.729098:0.138168:0.710703:0.123831:0.710703:0.000000
+:@0.166288:0.729098:0.180625:0.729098:0.180625:0.710703:0.166288:0.710703:0.000000
d:@0.109029:0.728254:0.118299:0.728254:0.122924:0.712473:0.113655:0.712473:0.000000
d i:@0.138864:0.728254:0.161052:0.728254:0.165677:0.712473:0.143489:0.712473:0.000000:0.000000:0.000000
d j:@0.180806:0.728254:0.205288:0.728254:0.209914:0.712473:0.185432:0.712473:0.000000:0.000000:0.000000
x:@0.150031:0.730586:0.154897:0.730586:0.157841:0.720544:0.152974:0.720544:0.000000
y:@0.191965:0.730586:0.196726:0.730586:0.199670:0.720544:0.194909:0.720544:0.000000
:@0.112576:0.715477:0.074634:0.715477:0.074634:0.699420:0.112576:0.699420:0.000000
:@0.158074:0.715477:0.120131:0.715477:0.120131:0.699420:0.158074:0.699420:0.000000
:@0.201158:0.715477:0.208713:0.715477:0.208713:0.699420:0.201158:0.699420:0.000000
(:@0.139537:0.765813:0.146705:0.765813:0.146705:0.732887:0.139537:0.732887:0.000000
):@0.266595:0.765813:0.273763:0.765813:0.273763:0.732887:0.266595:0.732887:0.000000
=−:@0.123831:0.759650:0.160318:0.759650:0.160318:0.741256:0.123831:0.741256:0.000000:0.000000
+:@0.204618:0.759650:0.218955:0.759650:0.218955:0.741256:0.204618:0.741256:0.000000
d:@0.109029:0.758806:0.118299:0.758806:0.122924:0.743026:0.113655:0.743026:0.000000
i:@0.195731:0.758806:0.199380:0.758806:0.204006:0.743026:0.200357:0.743026:0.000000
jkm:@0.259539:0.758806:0.299232:0.758806:0.303858:0.743026:0.264165:0.743026:0.000000:0.000000:0.000000
13,33:@0.160164:0.758806:0.197295:0.758806:0.197295:0.743026:0.160164:0.743026:0.000000:0.000000:0.000000:0.000000:0.000000
23,09:@0.220938:0.758806:0.258438:0.758806:0.258438:0.743026:0.220938:0.743026:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.112576:0.746030:0.036323:0.746030:0.036323:0.729973:0.112576:0.729973:0.000000
:@0.196385:0.746030:0.120131:0.746030:0.120131:0.729973:0.196385:0.729973:0.000000
:@0.259057:0.746030:0.266613:0.746030:0.266613:0.729973:0.259057:0.729973:0.000000
Para calcular la distancia desplazada::@0.108231:0.804984:0.365418:0.804984:0.365418:0.788486:0.108231:0.788486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.121895:0.838318:0.136231:0.838318:0.136231:0.819924:0.121895:0.819924:0.000000
v:@0.108244:0.837474:0.115947:0.837474:0.120573:0.821694:0.112870:0.821694:0.000000
d:@0.138608:0.828791:0.147877:0.828791:0.152503:0.813011:0.143234:0.813011:0.000000
t:@0.139969:0.848241:0.145939:0.848241:0.150565:0.832460:0.144594:0.832460:0.000000
=⋅:@0.123831:0.867613:0.155969:0.867613:0.155969:0.849219:0.123831:0.849219:0.000000:0.000000
d:@0.109029:0.866769:0.118299:0.866769:0.122924:0.850989:0.113655:0.850989:0.000000
v t:@0.138090:0.866769:0.160590:0.866769:0.165216:0.850989:0.142716:0.850989:0.000000:0.000000:0.000000
=:@0.123831:0.896908:0.138168:0.896908:0.138168:0.878514:0.123831:0.878514:0.000000
⋅:@0.190484:0.896908:0.195607:0.896908:0.195607:0.878514:0.190484:0.878514:0.000000
d:@0.109029:0.896065:0.118299:0.896065:0.122924:0.880284:0.113655:0.880284:0.000000
km:@0.163781:0.887379:0.185673:0.887379:0.190299:0.871599:0.168407:0.871599:0.000000:0.000000
h:@0.170071:0.906831:0.179303:0.906831:0.183929:0.891050:0.174697:0.891050:0.000000
h:@0.212476:0.896071:0.221708:0.896071:0.226334:0.880290:0.217102:0.880290:0.000000
80:@0.140689:0.896065:0.156869:0.896065:0.156869:0.880284:0.140689:0.880284:0.000000:0.000000
1:@0.198478:0.887379:0.206605:0.887379:0.206605:0.871599:0.198478:0.871599:0.000000
3:@0.198118:0.906831:0.206245:0.906831:0.206245:0.891050:0.198118:0.891050:0.000000
=:@0.123831:0.926204:0.138168:0.926204:0.138168:0.907810:0.123831:0.907810:0.000000
d:@0.109029:0.925360:0.118299:0.925360:0.122924:0.909580:0.113655:0.909580:0.000000
km:@0.182316:0.925360:0.204208:0.925360:0.208834:0.909580:0.186942:0.909580:0.000000:0.000000
26,66:@0.140689:0.925360:0.178558:0.925360:0.178558:0.909580:0.140689:0.909580:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.812395:0.278324:0.819816:0.278324:0.819816:0.263726:0.812395:0.263726:0.000000
d:@0.815008:0.179626:0.823250:0.179626:0.823250:0.165028:0.815008:0.165028:0.000000
y:@0.822631:0.183498:0.829600:0.183498:0.829600:0.168901:0.822631:0.168901:0.000000
d:@0.739371:0.281706:0.747613:0.281706:0.747613:0.267109:0.739371:0.267109:0.000000
x:@0.746994:0.285578:0.753745:0.285578:0.753745:0.270981:0.746994:0.270981:0.000000
 d:@0.739455:0.175741:0.751450:0.175741:0.751450:0.161143:0.739455:0.161143:0.000000:0.000000
30º:@0.782048:0.221432:0.802285:0.221432:0.802285:0.206835:0.782048:0.206835:0.000000:0.000000:0.000000
 :@0.638373:0.307718:0.641254:0.307718:0.641254:0.296241:0.638373:0.296241:0.000000
Figura 2.11.:@0.641254:0.307718:0.695733:0.307718:0.695733:0.296241:0.641254:0.296241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Física y Trigonometría:@0.683680:0.530668:0.834718:0.530668:0.834718:0.515196:0.683680:0.515196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El uso de las funciones tri-:@0.638508:0.546088:0.807212:0.546088:0.807212:0.531025:0.638508:0.531025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gonométricas, así como la :@0.638508:0.561930:0.810748:0.561930:0.810748:0.546867:0.638508:0.546867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geometría y el cálculo vectorial, :@0.638508:0.577772:0.845242:0.577772:0.845242:0.562709:0.638508:0.562709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son fundamentales para definir :@0.638508:0.593614:0.844836:0.593614:0.844836:0.578551:0.638508:0.578551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
magnitudes físicas como la :@0.638508:0.609456:0.816270:0.609456:0.816270:0.594393:0.638508:0.594393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad. :@0.638508:0.625298:0.707547:0.625298:0.707547:0.610235:0.638508:0.610235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propón:@0.707547:0.625720:0.759807:0.625720:0.759807:0.610248:0.707547:0.610248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un ejemplo.:@0.759809:0.625298:0.840088:0.625298:0.840088:0.610235:0.759809:0.610235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.679031:0.503630:0.839137:0.503630:0.839137:0.485947:0.679031:0.485947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para recordar la descom-:@0.676493:0.726034:0.837387:0.726034:0.837387:0.710971:0.676493:0.710971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posición de vectores puedes :@0.638498:0.741876:0.826903:0.741876:0.826903:0.726813:0.638498:0.726813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observar el siguiente enlace::@0.638498:0.757718:0.817739:0.757718:0.817739:0.742655:0.638498:0.742655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/11f10:@0.638503:0.780100:0.720555:0.780100:0.720555:0.765503:0.638503:0.765503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.672933:0.699418:0.835621:0.699418:0.835621:0.681735:0.672933:0.681735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debemos trabajar en las :@0.680301:0.395004:0.840174:0.395004:0.840174:0.379941:0.680301:0.379941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mismas unidades. :@0.637557:0.410846:0.756094:0.410846:0.756094:0.395783:0.637557:0.395783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20 min =1/3 h:@0.695287:0.426688:0.787987:0.426688:0.787987:0.411625:0.695287:0.411625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.679786:0.356855:0.782058:0.356855:0.782058:0.340646:0.679786:0.340646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.679786:0.369426:0.767852:0.369426:0.767852:0.353217:0.679786:0.353217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
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 :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000