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$$$\frac{2}{7}\cdot \left\langle 3, 1, 2\right\rangle$$$

The calculator will multiply the vector $$$\left\langle 3, 1, 2\right\rangle$$$ by the scalar $$$\frac{2}{7}$$$, with steps shown.
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Your Input

Calculate $$$\frac{2}{7}\cdot \left\langle 3, 1, 2\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{Green}\left(\frac{2}{7}\right)}\cdot \left\langle 3, 1, 2\right\rangle = \left\langle {\color{Green}\left(\frac{2}{7}\right)}\cdot \left(3\right), {\color{Green}\left(\frac{2}{7}\right)}\cdot \left(1\right), {\color{Green}\left(\frac{2}{7}\right)}\cdot \left(2\right)\right\rangle = \left\langle \frac{6}{7}, \frac{2}{7}, \frac{4}{7}\right\rangle$$$

Answer

$$$\frac{2}{7}\cdot \left\langle 3, 1, 2\right\rangle = \left\langle \frac{6}{7}, \frac{2}{7}, \frac{4}{7}\right\rangle\approx \left\langle 0.857142857142857, 0.285714285714286, 0.571428571428571\right\rangle$$$A