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

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

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

Solution

Multiply each coordinate of the vector by the scalar:

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

Answer

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