166:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Vectores geométricos en el plano:@0.073089:0.043661:0.387672:0.043661:0.387672:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Sean :@0.073089:0.136836:0.143028:0.136836:0.143028:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u, v, w V:@0.143400:0.136836:0.214194:0.136836:0.214194:0.120430:0.143400:0.120430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [:@0.189768:0.136698:0.205101:0.136698:0.205101:0.122649:0.189768:0.122649:0.000000 2 :@0.214169:0.140009:0.221746:0.140009:0.221746:0.130428:0.214169:0.130428:0.000000:0.000000 , tales que ІІ ІІ:@0.221966:0.136836:0.325396:0.136836:0.325396:0.120402:0.221966:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.308351:0.136836:0.317665:0.136836:0.317665:0.120430:0.308351:0.120430:0.000000 :@0.325377:0.136836:0.348865:0.136836:0.348865:0.120167:0.325377:0.120167:0.000000:0.000000:0.000000 5:@0.329648:0.136281:0.344981:0.136281:0.344981:0.122566:0.329648:0.122566:0.000000 3, ІІ ІІ:@0.349233:0.136836:0.388975:0.136836:0.388975:0.120402:0.349233:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.373512:0.136836:0.381244:0.136836:0.381244:0.120430:0.373512:0.120430:0.000000 5:@0.388956:0.136281:0.404289:0.136281:0.404289:0.122566:0.388956:0.122566:0.000000 :@0.404253:0.136836:0.408155:0.136836:0.408155:0.120167:0.404253:0.120167:0.000000 4, ІІ ІІ:@0.408523:0.136836:0.453253:0.136836:0.453253:0.120402:0.408523:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 w:@0.432802:0.136836:0.445522:0.136836:0.445522:0.120430:0.432802:0.120430:0.000000 5 :@0.453234:0.136281:0.473151:0.136281:0.473151:0.122566:0.453234:0.122566:0.000000:0.000000 5. Supón que estos vectores forman, con una recta horizontal, :@0.473574:0.136836:0.931134:0.136836:0.931134:0.120402:0.473574:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ángulos medidos en el sentido antihorario de = °, = 90°, = 135°. Verifica las siguientes propiedades.:@0.103220:0.153478:0.878942:0.153478:0.878942:0.137044:0.103220:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.436889:0.152923:0.446092:0.152923:0.446092:0.139208:0.436889:0.139208:0.000000 u:@0.445989:0.156650:0.451419:0.156650:0.451419:0.147086:0.445989:0.147086:0.000000 u u:@0.470174:0.152923:0.500896:0.152923:0.500896:0.139208:0.470174:0.139208:0.000000:0.000000:0.000000 v:@0.500799:0.156650:0.505306:0.156650:0.505306:0.147086:0.500799:0.147086:0.000000 u:@0.554267:0.152923:0.563470:0.152923:0.563470:0.139208:0.554267:0.139208:0.000000 w:@0.563377:0.156650:0.570792:0.156650:0.570792:0.147086:0.563377:0.147086:0.000000 a. ( ) :@0.104633:0.187988:0.315446:0.187988:0.315446:0.171555:0.104633:0.171555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.138792:0.187988:0.148106:0.187988:0.148106:0.171582:0.138792:0.171582:0.000000 ?:@0.151990:0.187850:0.158119:0.187850:0.158119:0.173801:0.151990:0.173801:0.000000 v:@0.166771:0.187988:0.174502:0.187988:0.174502:0.171582:0.166771:0.171582:0.000000 1:@0.178386:0.187434:0.193719:0.187434:0.193719:0.173718:0.178386:0.173718:0.000000 w:@0.197584:0.187988:0.210304:0.187988:0.210304:0.171582:0.197584:0.171582:0.000000 5:@0.218974:0.187434:0.234307:0.187434:0.234307:0.173718:0.218974:0.173718:0.000000 u v:@0.238172:0.187988:0.269096:0.187988:0.269096:0.171582:0.238172:0.171582:0.000000:0.000000:0.000000 ?:@0.251370:0.187850:0.257500:0.187850:0.257500:0.173801:0.251370:0.173801:0.000000 1:@0.272980:0.187434:0.288314:0.187434:0.288314:0.173718:0.272980:0.173718:0.000000 u w:@0.292179:0.187988:0.328092:0.187988:0.328092:0.171582:0.292179:0.171582:0.000000:0.000000:0.000000 ?:@0.305377:0.187850:0.311507:0.187850:0.311507:0.173801:0.305377:0.173801:0.000000 b. ( ) :@0.104633:0.222499:0.315446:0.222499:0.315446:0.206065:0.104633:0.206065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.138792:0.222499:0.148106:0.222499:0.148106:0.206093:0.138792:0.206093:0.000000 ?:@0.151990:0.222360:0.158119:0.222360:0.158119:0.208312:0.151990:0.208312:0.000000 v:@0.166771:0.222499:0.174502:0.222499:0.174502:0.206093:0.166771:0.206093:0.000000 1:@0.178386:0.221944:0.193719:0.221944:0.193719:0.208228:0.178386:0.208228:0.000000 w:@0.197584:0.222499:0.210304:0.222499:0.210304:0.206093:0.197584:0.206093:0.000000 5:@0.218974:0.221944:0.234307:0.221944:0.234307:0.208228:0.218974:0.208228:0.000000 u v:@0.238172:0.222499:0.269096:0.222499:0.269096:0.206093:0.238172:0.206093:0.000000:0.000000:0.000000 ?:@0.251370:0.222360:0.257500:0.222360:0.257500:0.208312:0.251370:0.208312:0.000000 2:@0.272980:0.221944:0.288314:0.221944:0.288314:0.208228:0.272980:0.208228:0.000000 u w:@0.292179:0.222499:0.328092:0.222499:0.328092:0.206093:0.292179:0.206093:0.000000:0.000000:0.000000 ?:@0.305377:0.222360:0.311507:0.222360:0.311507:0.208312:0.305377:0.208312:0.000000 c. (:@0.104633:0.257010:0.139712:0.257010:0.139712:0.240577:0.104633:0.240577:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.139638:0.256456:0.150885:0.256456:0.150885:0.242740:0.139638:0.242740:0.000000 u:@0.150793:0.257010:0.160107:0.257010:0.160107:0.240604:0.150793:0.240604:0.000000 ) ( ) para :@0.160034:0.257010:0.305138:0.257010:0.305138:0.240577:0.160034:0.240577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ?:@0.168777:0.256872:0.174907:0.256872:0.174907:0.242823:0.168777:0.242823:0.000000 v:@0.178772:0.257010:0.186503:0.257010:0.186503:0.240604:0.178772:0.240604:0.000000 5 a:@0.190387:0.256456:0.220833:0.256456:0.220833:0.242740:0.190387:0.242740:0.000000:0.000000:0.000000 u v:@0.229484:0.257010:0.260408:0.257010:0.260408:0.240604:0.229484:0.240604:0.000000:0.000000:0.000000 ?:@0.242682:0.256872:0.248812:0.256872:0.248812:0.242823:0.242682:0.242823:0.000000 a:@0.305009:0.256456:0.316256:0.256456:0.316256:0.242740:0.305009:0.242740:0.000000 [:@0.316164:0.256872:0.331497:0.256872:0.331497:0.242823:0.316164:0.242823:0.000000 ℝ:@0.331405:0.258793:0.345800:0.258793:0.345800:0.243525:0.331405:0.243525:0.000000 con 0:@0.345671:0.257010:0.424491:0.257010:0.424491:0.240577:0.345671:0.240577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a Þ:@0.381197:0.256456:0.411642:0.256456:0.411642:0.242740:0.381197:0.242740:0.000000:0.000000:0.000000 2. Sean :@0.073089:0.291521:0.142367:0.291521:0.142367:0.275087:0.073089:0.275087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u, v, w V:@0.141651:0.291521:0.208856:0.291521:0.208856:0.275115:0.141651:0.275115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [:@0.184632:0.291382:0.199965:0.291382:0.199965:0.277334:0.184632:0.277334:0.000000 2 :@0.208721:0.294693:0.216201:0.294693:0.216201:0.285112:0.208721:0.285112:0.000000:0.000000 , tales que ІІ ІІ:@0.215782:0.291521:0.313819:0.291521:0.313819:0.275087:0.215782:0.275087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.297087:0.291521:0.306401:0.291521:0.306401:0.275115:0.297087:0.275115:0.000000 :@0.313635:0.291521:0.335853:0.291521:0.335853:0.274851:0.313635:0.274851:0.000000:0.000000:0.000000 5:@0.316838:0.290966:0.332171:0.290966:0.332171:0.277250:0.316838:0.277250:0.000000 1.5, ІІ ІІ 3, ІІ ІІ:@0.335153:0.291521:0.445468:0.291521:0.445468:0.275087:0.335153:0.275087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.369501:0.291521:0.377232:0.291521:0.377232:0.275115:0.369501:0.275115:0.000000 5:@0.384485:0.290966:0.399818:0.290966:0.399818:0.277250:0.384485:0.277250:0.000000 :@0.399597:0.291521:0.403500:0.291521:0.403500:0.274851:0.399597:0.274851:0.000000 w:@0.425331:0.291521:0.438050:0.291521:0.438050:0.275115:0.425331:0.275115:0.000000 5 :@0.445284:0.290966:0.465007:0.290966:0.465007:0.277250:0.445284:0.277250:0.000000:0.000000 5. Se supone que estos vectores forman, con una recta horizontal, :@0.464188:0.291521:0.930967:0.291521:0.930967:0.275087:0.464188:0.275087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ángulos que, en el sentido antihorario, miden = 30°, = 90°, = 150°. Grafica estos vectores y calcula.:@0.103185:0.308163:0.862361:0.308163:0.862361:0.291729:0.103185:0.291729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.435602:0.307608:0.444805:0.307608:0.444805:0.293892:0.435602:0.293892:0.000000 u:@0.444730:0.311335:0.450160:0.311335:0.450160:0.301770:0.444730:0.301770:0.000000 u:@0.499120:0.307608:0.508324:0.307608:0.508324:0.293892:0.499120:0.293892:0.000000 v:@0.508232:0.311335:0.512739:0.311335:0.512739:0.301770:0.508232:0.301770:0.000000 u:@0.561700:0.307608:0.570903:0.307608:0.570903:0.293892:0.561700:0.293892:0.000000 w:@0.570811:0.311335:0.578227:0.311335:0.578227:0.301770:0.570811:0.301770:0.000000 a. ( ) :@0.104633:0.342673:0.198505:0.342673:0.198505:0.326239:0.104633:0.326239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.139638:0.342673:0.148952:0.342673:0.148952:0.326267:0.139638:0.326267:0.000000 1:@0.152836:0.342118:0.168170:0.342118:0.168170:0.328403:0.152836:0.328403:0.000000 v:@0.172035:0.342673:0.179766:0.342673:0.179766:0.326267:0.172035:0.326267:0.000000 ?:@0.188436:0.342534:0.194566:0.342534:0.194566:0.328486:0.188436:0.328486:0.000000 w:@0.198431:0.342673:0.211150:0.342673:0.211150:0.326267:0.198431:0.326267:0.000000 b. ( ) :@0.104633:0.377183:0.203493:0.377183:0.203493:0.360750:0.104633:0.360750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.139638:0.377183:0.148952:0.377183:0.148952:0.360777:0.139638:0.360777:0.000000 1:@0.152836:0.376629:0.168170:0.376629:0.168170:0.362913:0.152836:0.362913:0.000000 w:@0.172035:0.377183:0.184754:0.377183:0.184754:0.360777:0.172035:0.360777:0.000000 ?:@0.193424:0.377045:0.199554:0.377045:0.199554:0.362996:0.193424:0.362996:0.000000 v:@0.203419:0.377183:0.211150:0.377183:0.211150:0.360777:0.203419:0.360777:0.000000 c. ( ) ( ):@0.104633:0.411695:0.258126:0.411695:0.258126:0.395261:0.104633:0.395261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.139638:0.411695:0.148952:0.411695:0.148952:0.395289:0.139638:0.395289:0.000000 1:@0.152836:0.411140:0.168170:0.411140:0.168170:0.397425:0.152836:0.397425:0.000000 w:@0.172035:0.411695:0.184754:0.411695:0.184754:0.395289:0.172035:0.395289:0.000000 ?:@0.193424:0.411556:0.199554:0.411556:0.199554:0.397508:0.193424:0.397508:0.000000 u:@0.208205:0.411695:0.217519:0.411695:0.217519:0.395289:0.208205:0.395289:0.000000 2:@0.221403:0.411140:0.236737:0.411140:0.236737:0.397425:0.221403:0.397425:0.000000 w:@0.240602:0.411695:0.253321:0.411695:0.253321:0.395289:0.240602:0.395289:0.000000 d. ( 2 ) (3:@0.104633:0.446205:0.226097:0.446205:0.226097:0.429772:0.104633:0.429772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.139638:0.446205:0.148952:0.446205:0.148952:0.429799:0.139638:0.429799:0.000000 1:@0.152836:0.445651:0.168170:0.445651:0.168170:0.431935:0.152836:0.431935:0.000000 w:@0.180926:0.446205:0.193645:0.446205:0.193645:0.429799:0.180926:0.429799:0.000000 ?:@0.202315:0.446067:0.208445:0.446067:0.208445:0.432018:0.202315:0.432018:0.000000 v :@0.226005:0.446205:0.236976:0.446205:0.236976:0.429799:0.226005:0.429799:0.000000:0.000000 2:@0.236921:0.445651:0.252254:0.445651:0.252254:0.431935:0.236921:0.431935:0.000000 2 ):@0.252162:0.446205:0.279128:0.446205:0.279128:0.429772:0.252162:0.429772:0.000000:0.000000:0.000000:0.000000 u:@0.265010:0.446205:0.274324:0.446205:0.274324:0.429799:0.265010:0.429799:0.000000 3. Responde la siguiente pregunta. Sean :@0.073089:0.480716:0.381617:0.480716:0.381617:0.464282:0.073089:0.464282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u, v, V:@0.381314:0.480716:0.434750:0.480716:0.434750:0.464310:0.381314:0.464310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [:@0.410397:0.480577:0.425730:0.480577:0.425730:0.466529:0.410397:0.466529:0.000000 2:@0.434690:0.483888:0.439927:0.483888:0.439927:0.474307:0.434690:0.474307:0.000000 . ¿Cómo se define ?:@0.439881:0.480716:0.619075:0.480716:0.619075:0.464282:0.439881:0.464282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.572008:0.480716:0.581322:0.480716:0.581322:0.464310:0.572008:0.464310:0.000000 2:@0.585206:0.480161:0.600539:0.480161:0.600539:0.466445:0.585206:0.466445:0.000000 v:@0.604405:0.480716:0.612136:0.480716:0.612136:0.464310:0.604405:0.464310:0.000000 4. Escribe V si es verdadero o F si es falso, según tu análisis.:@0.073089:0.603343:0.506489:0.603343:0.506489:0.586910:0.073089:0.586910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. La adición de vectores cumple con la propiedad conmutativa.:@0.104633:0.637854:0.583034:0.637854:0.583034:0.621420:0.104633:0.621420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. El producto de un escalar por un vector da como resultado un escalar.:@0.104633:0.672365:0.641155:0.672365:0.641155:0.655932:0.104633:0.655932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. Dos vectores son ortogonales si y solo si forman un ángulo de 180°.:@0.104633:0.706876:0.623132:0.706876:0.623132:0.690442:0.104633:0.690442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. El producto escalar o producto punto de dos vectores, da como resultado otro escalar.:@0.104633:0.741386:0.759131:0.741386:0.759131:0.724952:0.104633:0.724952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5. Cuando hablas, comunicas cosas de forma consciente e inconsciente, con el cuerpo y el rostro. ¿Cómo te sentirías :@0.073089:0.775897:0.931610:0.775897:0.931610:0.759463:0.073089:0.759463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si, mientras le cuentas algo a alguien, mira para otro lado o bosteza?:@0.103217:0.792538:0.594786:0.792538:0.594786:0.776105:0.103217:0.776105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Compruebo mis aprendizajes :@0.161804:0.097463:0.577714:0.097463:0.577714:0.069346:0.161804:0.069346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000