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$$$\frac{1}{2}\cdot \left\langle 2 \cos{\left(t \right)}, - 2 \sin{\left(t \right)}, 0\right\rangle$$$

The calculator will multiply the vector $$$\left\langle 2 \cos{\left(t \right)}, - 2 \sin{\left(t \right)}, 0\right\rangle$$$ by the scalar $$$\frac{1}{2}$$$, with steps shown.
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Your Input

Calculate $$$\frac{1}{2}\cdot \left\langle 2 \cos{\left(t \right)}, - 2 \sin{\left(t \right)}, 0\right\rangle$$$.

Solution

Multiply each coordinate of the vector by the scalar:

$$${\color{Red}\left(\frac{1}{2}\right)}\cdot \left\langle 2 \cos{\left(t \right)}, - 2 \sin{\left(t \right)}, 0\right\rangle = \left\langle {\color{Red}\left(\frac{1}{2}\right)}\cdot \left(2 \cos{\left(t \right)}\right), {\color{Red}\left(\frac{1}{2}\right)}\cdot \left(- 2 \sin{\left(t \right)}\right), {\color{Red}\left(\frac{1}{2}\right)}\cdot \left(0\right)\right\rangle = \left\langle \cos{\left(t \right)}, - \sin{\left(t \right)}, 0\right\rangle$$$

Answer

$$$\frac{1}{2}\cdot \left\langle 2 \cos{\left(t \right)}, - 2 \sin{\left(t \right)}, 0\right\rangle = \left\langle \cos{\left(t \right)}, - \sin{\left(t \right)}, 0\right\rangle$$$A