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

本計算器會將向量 $$$\left\langle 2 \cos{\left(t \right)}, - 2 \sin{\left(t \right)}, 0\right\rangle$$$ 乘以純量 $$$\frac{1}{2}$$$,並顯示步驟。
$$$\langle$$$ $$$\rangle$$$
以逗號分隔。

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您的輸入

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

解答

將向量的每個分量乘以該純量:

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

答案

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


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