Wie in eurer Hausaufgabe sind folgende Punkte gegeben:[br]A=(2,1,3), B=(-4,5,3), C=(2,1,-4), D=(-4,5,-4), E=(-1,3,7)[br]Was vorher aber Strecken zwischen den Punkten waren sind nun Vektoren. Vektor [math]\text{\vec{u}}[/math] ist bereits im Bild notiert.
a) Bestimme die übrigen abgebildeten Vektoren mit Hilfe der Koordinaten der Punkte.[br]b) Welche Vektoren haben die gleiche Länge? Gib die Länge an. [br]Welche die gleiche Orientierung, aber unterschiedliche Richtungen? [br]Welche Vektoren sind identisch (gleiche Richtung, gleiche Orientierung, gleiche Länge)? [br][br]Einen Tipp wie man die Vektoren berechnet findest du ganz unten.
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[/img][br][br]-----------------------------------------------------------------------------------------------[br][br]Vektoren mit gleicher Länge:[br]|d|=|c|=5,39[br]|a|=|v|=7,21[br]|b|=|e|=7[br]|u|=|w|=10,05[br][br]Vektoren mit gleicher Länge und Orientierung, aber verschiedenen Richtungen:[br]b und e[br][br]Repräsentanten identischer Vektoren:[br]a und v
[size=50]Der Vektor [math]\text{\vec{u}}[/math] lässt sich folgendermaßen berechnen:[br][img]data:image/png;base64,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[/img][br][/size]
Du kannst durch Klicken auf den Punkt E', das schwarze Haus vom Nikolaus verschieben.
Mit Hilfe von Vektoren können ganze Figuren im Raum verschoben werden.[br]Wie würdest du vorgehen um das ganze Haus vom Nikolaus zu verschieben, wenn Punkt E=(-1/3/7) auf Punkt E'=(-6/-5/3) verschoben werden soll?[br]Gibt den Verschiebungsvektor an und bestimme die Koordinaten der neuen Punkte A',B',C' und D'
[img]data:image/png;base64,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[/img][br]A'=(-3/-7/-1)[br]B'=(-9/-3/-1)[br]C'=(-3/-7/-8)[br]D'=(-9/-3/-8)