$$$\frac{\sqrt{2}}{4}\cdot \left\langle 2, -2, 0\right\rangle$$$
La calculadora multiplicará el vector $$$\left\langle 2, -2, 0\right\rangle$$$ por el escalar $$$\frac{\sqrt{2}}{4}$$$, mostrando los pasos.
Tu entrada
Calcular $$$\frac{\sqrt{2}}{4}\cdot \left\langle 2, -2, 0\right\rangle$$$.
Solución
Multiplica cada coordenada del vector por el escalar:
$$${\color{Peru}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left\langle 2, -2, 0\right\rangle = \left\langle {\color{Peru}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left(2\right), {\color{Peru}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left(-2\right), {\color{Peru}\left(\frac{\sqrt{2}}{4}\right)}\cdot \left(0\right)\right\rangle = \left\langle \frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2}, 0\right\rangle$$$
Respuesta
$$$\frac{\sqrt{2}}{4}\cdot \left\langle 2, -2, 0\right\rangle = \left\langle \frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2}, 0\right\rangle\approx \left\langle 0.707106781186548, -0.707106781186548, 0\right\rangle$$$A