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$$$\frac{4}{25}\cdot \left\langle 0, 3, 4\right\rangle$$$

The calculator will multiply the vector $$$\left\langle 0, 3, 4\right\rangle$$$ by the scalar $$$\frac{4}{25}$$$, with steps shown.
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Your Input

Calculate $$$\frac{4}{25}\cdot \left\langle 0, 3, 4\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{Green}\left(\frac{4}{25}\right)}\cdot \left\langle 0, 3, 4\right\rangle = \left\langle {\color{Green}\left(\frac{4}{25}\right)}\cdot \left(0\right), {\color{Green}\left(\frac{4}{25}\right)}\cdot \left(3\right), {\color{Green}\left(\frac{4}{25}\right)}\cdot \left(4\right)\right\rangle = \left\langle 0, \frac{12}{25}, \frac{16}{25}\right\rangle$$$

Answer

$$$\frac{4}{25}\cdot \left\langle 0, 3, 4\right\rangle = \left\langle 0, \frac{12}{25}, \frac{16}{25}\right\rangle = \left\langle 0, 0.48, 0.64\right\rangle$$$A