$$$\frac{\sqrt{2}}{4}\cdot \left\langle 2, -2, 0\right\rangle$$$

Berechne $$$\frac{\sqrt{2}}{4}\cdot \left\langle 2, -2, 0\right\rangle$$$.

Multipliziere jede Komponente des Vektors mit dem Skalar:

$$${\color{Chartreuse}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left\langle 2, -2, 0\right\rangle = \left\langle {\color{Chartreuse}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left(2\right), {\color{Chartreuse}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left(-2\right), {\color{Chartreuse}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left(0\right)\right\rangle = \left\langle \frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2}, 0\right\rangle$$$

$$$\frac{\sqrt{2}}{4}\cdot \left\langle 2, -2, 0\right\rangle = \left\langle \frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2}, 0\right\rangle\approx \left\langle 0.707106781186548, -0.707106781186548, 0\right\rangle$$$A