sqrt(3)/3 * ⟨1, -1, 1⟩

Kalkulator akan mengalikan vektor $$$\left\langle 1, -1, 1\right\rangle$$$ dengan skalar $$$\frac{\sqrt{3}}{3}$$$, serta menampilkan langkah-langkahnya.

Masukan Anda

Hitung $$$\frac{\sqrt{3}}{3}\cdot \left\langle 1, -1, 1\right\rangle$$$.

Solusi

Kalikan setiap koordinat vektor dengan skalar:

$$${\color{DarkMagenta}\left(\frac{\sqrt{3}}{3}\right)}\cdot \left\langle 1, -1, 1\right\rangle = \left\langle {\color{DarkMagenta}\left(\frac{\sqrt{3}}{3}\right)}\cdot \left(1\right), {\color{DarkMagenta}\left(\frac{\sqrt{3}}{3}\right)}\cdot \left(-1\right), {\color{DarkMagenta}\left(\frac{\sqrt{3}}{3}\right)}\cdot \left(1\right)\right\rangle = \left\langle \frac{\sqrt{3}}{3}, - \frac{\sqrt{3}}{3}, \frac{\sqrt{3}}{3}\right\rangle$$$

Jawaban

$$$\frac{\sqrt{3}}{3}\cdot \left\langle 1, -1, 1\right\rangle = \left\langle \frac{\sqrt{3}}{3}, - \frac{\sqrt{3}}{3}, \frac{\sqrt{3}}{3}\right\rangle\approx \left\langle 0.577350269189626, -0.577350269189626, 0.577350269189626\right\rangle$$$A

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