$$$\frac{9}{14}\cdot \left\langle 1, 3, 2\right\rangle$$$
Ihre Eingabe
Berechne $$$\frac{9}{14}\cdot \left\langle 1, 3, 2\right\rangle$$$.
Lösung
Multipliziere jede Komponente des Vektors mit dem Skalar:
$$${\color{SaddleBrown}\left(\frac{9}{14}\right)}\cdot \left\langle 1, 3, 2\right\rangle = \left\langle {\color{SaddleBrown}\left(\frac{9}{14}\right)}\cdot \left(1\right), {\color{SaddleBrown}\left(\frac{9}{14}\right)}\cdot \left(3\right), {\color{SaddleBrown}\left(\frac{9}{14}\right)}\cdot \left(2\right)\right\rangle = \left\langle \frac{9}{14}, \frac{27}{14}, \frac{9}{7}\right\rangle$$$
Antwort
$$$\frac{9}{14}\cdot \left\langle 1, 3, 2\right\rangle = \left\langle \frac{9}{14}, \frac{27}{14}, \frac{9}{7}\right\rangle\approx \left\langle 0.642857142857143, 1.928571428571429, 1.285714285714286\right\rangle$$$A
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