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

De rekenmachine zal de vector $$$\left\langle 2 \cos{\left(t \right)}, - 2 \sin{\left(t \right)}, 0\right\rangle$$$ vermenigvuldigen met de scalair $$$\frac{1}{2}$$$, waarbij de stappen worden getoond.

Uw invoer

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

Oplossing

Vermenigvuldig elke coördinaat van de vector met de scalair:

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

Antwoord

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

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