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

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

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

Solution

Multiply each coordinate of the vector by the scalar:

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

Answer

$$$\frac{2}{3}\cdot \left\langle 1, 1, 2\right\rangle = \left\langle \frac{2}{3}, \frac{2}{3}, \frac{4}{3}\right\rangle\approx \left\langle 0.666666666666667, 0.666666666666667, 1.333333333333333\right\rangle$$$A