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

Kalkulator akan mengalikan vektor $$$\left\langle 2, -2, 0\right\rangle$$$ dengan skalar $$$\frac{\sqrt{2}}{4}$$$, serta menampilkan langkah-langkahnya.
$$$\langle$$$ $$$\rangle$$$
Dipisahkan dengan koma.

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Masukan Anda

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

Solusi

Kalikan setiap koordinat vektor dengan skalar:

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

Jawaban

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