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$$$\frac{\sqrt{3}}{7}\cdot \left\langle \frac{7}{3}, \frac{7}{3}, - \frac{7}{3}\right\rangle$$$

The calculator will multiply the vector $$$\left\langle \frac{7}{3}, \frac{7}{3}, - \frac{7}{3}\right\rangle$$$ by the scalar $$$\frac{\sqrt{3}}{7}$$$, with steps shown.
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Your Input

Calculate $$$\frac{\sqrt{3}}{7}\cdot \left\langle \frac{7}{3}, \frac{7}{3}, - \frac{7}{3}\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{DarkCyan}\left(\frac{\sqrt{3}}{7}\right)}\cdot \left\langle \frac{7}{3}, \frac{7}{3}, - \frac{7}{3}\right\rangle = \left\langle {\color{DarkCyan}\left(\frac{\sqrt{3}}{7}\right)}\cdot \left(\frac{7}{3}\right), {\color{DarkCyan}\left(\frac{\sqrt{3}}{7}\right)}\cdot \left(\frac{7}{3}\right), {\color{DarkCyan}\left(\frac{\sqrt{3}}{7}\right)}\cdot \left(- \frac{7}{3}\right)\right\rangle = \left\langle \frac{\sqrt{3}}{3}, \frac{\sqrt{3}}{3}, - \frac{\sqrt{3}}{3}\right\rangle$$$

Answer

$$$\frac{\sqrt{3}}{7}\cdot \left\langle \frac{7}{3}, \frac{7}{3}, - \frac{7}{3}\right\rangle = \left\langle \frac{\sqrt{3}}{3}, \frac{\sqrt{3}}{3}, - \frac{\sqrt{3}}{3}\right\rangle\approx \left\langle 0.577350269189626, 0.577350269189626, -0.577350269189626\right\rangle$$$A