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$$$\frac{1}{3}\cdot \left\langle 3, 6, 0\right\rangle$$$

The calculator will multiply the vector $$$\left\langle 3, 6, 0\right\rangle$$$ by the scalar $$$\frac{1}{3}$$$, with steps shown.
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Your Input

Calculate $$$\frac{1}{3}\cdot \left\langle 3, 6, 0\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{Brown}\left(\frac{1}{3}\right)}\cdot \left\langle 3, 6, 0\right\rangle = \left\langle {\color{Brown}\left(\frac{1}{3}\right)}\cdot \left(3\right), {\color{Brown}\left(\frac{1}{3}\right)}\cdot \left(6\right), {\color{Brown}\left(\frac{1}{3}\right)}\cdot \left(0\right)\right\rangle = \left\langle 1, 2, 0\right\rangle$$$

Answer

$$$\frac{1}{3}\cdot \left\langle 3, 6, 0\right\rangle = \left\langle 1, 2, 0\right\rangle$$$A


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