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$$$\frac{4}{13}\cdot \left\langle 4, -1, -3\right\rangle$$$

The calculator will multiply the vector $$$\left\langle 4, -1, -3\right\rangle$$$ by the scalar $$$\frac{4}{13}$$$, with steps shown.
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Your Input

Calculate $$$\frac{4}{13}\cdot \left\langle 4, -1, -3\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{DarkMagenta}\left(\frac{4}{13}\right)}\cdot \left\langle 4, -1, -3\right\rangle = \left\langle {\color{DarkMagenta}\left(\frac{4}{13}\right)}\cdot \left(4\right), {\color{DarkMagenta}\left(\frac{4}{13}\right)}\cdot \left(-1\right), {\color{DarkMagenta}\left(\frac{4}{13}\right)}\cdot \left(-3\right)\right\rangle = \left\langle \frac{16}{13}, - \frac{4}{13}, - \frac{12}{13}\right\rangle$$$

Answer

$$$\frac{4}{13}\cdot \left\langle 4, -1, -3\right\rangle = \left\langle \frac{16}{13}, - \frac{4}{13}, - \frac{12}{13}\right\rangle\approx \left\langle 1.230769230769231, -0.307692307692308, -0.923076923076923\right\rangle$$$A