$$$\frac{1}{5}\cdot \left\langle 3, 4\right\rangle$$$

Berechne $$$\frac{1}{5}\cdot \left\langle 3, 4\right\rangle$$$.

Multipliziere jede Komponente des Vektors mit dem Skalar:

$$${\color{Blue}\left(\frac{1}{5}\right)}\cdot \left\langle 3, 4\right\rangle = \left\langle {\color{Blue}\left(\frac{1}{5}\right)}\cdot \left(3\right), {\color{Blue}\left(\frac{1}{5}\right)}\cdot \left(4\right)\right\rangle = \left\langle \frac{3}{5}, \frac{4}{5}\right\rangle$$$

$$$\frac{1}{5}\cdot \left\langle 3, 4\right\rangle = \left\langle \frac{3}{5}, \frac{4}{5}\right\rangle = \left\langle 0.6, 0.8\right\rangle$$$A