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$$$\frac{1}{\left|{t}\right|}\cdot \left\langle 0, t\right\rangle$$$

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

Calculate $$$\frac{1}{\left|{t}\right|}\cdot \left\langle 0, t\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{OrangeRed}\left(\frac{1}{\left|{t}\right|}\right)}\cdot \left\langle 0, t\right\rangle = \left\langle {\color{OrangeRed}\left(\frac{1}{\left|{t}\right|}\right)}\cdot \left(0\right), {\color{OrangeRed}\left(\frac{1}{\left|{t}\right|}\right)}\cdot \left(t\right)\right\rangle = \left\langle 0, \frac{t}{\left|{t}\right|}\right\rangle$$$

Answer

$$$\frac{1}{\left|{t}\right|}\cdot \left\langle 0, t\right\rangle = \left\langle 0, \frac{t}{\left|{t}\right|}\right\rangle$$$A


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