Vektoren zwischen Punkten bestimmen

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.
Aufgaben
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.
Tipp
[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]
Sprinteraufgabe
Du kannst durch Klicken auf den Punkt E', das schwarze Haus vom Nikolaus verschieben.
Sprinteraufgabe
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'
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Information: Vektoren zwischen Punkten bestimmen