$$$\frac{1}{5}\cdot \left\langle 0, 3, 4\right\rangle$$$
Ihre Eingabe
Berechne $$$\frac{1}{5}\cdot \left\langle 0, 3, 4\right\rangle$$$.
Lösung
Multipliziere jede Komponente des Vektors mit dem Skalar:
$$${\color{DarkBlue}\left(\frac{1}{5}\right)}\cdot \left\langle 0, 3, 4\right\rangle = \left\langle {\color{DarkBlue}\left(\frac{1}{5}\right)}\cdot \left(0\right), {\color{DarkBlue}\left(\frac{1}{5}\right)}\cdot \left(3\right), {\color{DarkBlue}\left(\frac{1}{5}\right)}\cdot \left(4\right)\right\rangle = \left\langle 0, \frac{3}{5}, \frac{4}{5}\right\rangle$$$
Antwort
$$$\frac{1}{5}\cdot \left\langle 0, 3, 4\right\rangle = \left\langle 0, \frac{3}{5}, \frac{4}{5}\right\rangle = \left\langle 0, 0.6, 0.8\right\rangle$$$A
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