如何求叉積(find the cross product)
由於叉積或向量積是三維向量空間中兩個向量之間的二元運算，因此知道如何求叉積是很有用的。兩個向量的叉積導致另一個向量垂直於包含前兩個向量的平面。一般情況下，叉積或向量積用乘法符號表示，但數學運算比簡單的代數乘法更高階。
The cross product of vectors and is denoted as and produces another vector , which is perpendicular to both and .
where θ is the angle measured from to and η is the unit vector in the direction perpendicular to the plane containing both and .
Geometrically, the magnitude of the cross product of two vectors is equal to the area of a parallelogram with and as adjacent sides. Vectors , and for a right-handed system as follows:
叉積具有以下代數性質。
以下結果也適用於交叉積。
如何求叉積
向量通常以坐標系中的分量表示。當以這種形式給出時，用行列式計算叉積是很方便的。
以上結果適用於笛卡爾坐標系。
如何找到交叉積-示例
因此，叉積是不可交換的。
- 發表於 2021-06-27 01:26
- 閱讀 ( 30 )
- 分類：科學
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