如何求叉积(find the cross product)
由于叉积或向量积是三维向量空间中两个向量之间的二元运算，因此知道如何求叉积是很有用的。两个向量的叉积导致另一个向量垂直于包含前两个向量的平面。一般情况下，叉积或向量积用乘法符号表示，但数学运算比简单的代数乘法更高级。
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:
叉积具有以下代数性质。
以下结果也适用于交叉积。
如何求叉积
向量通常以坐标系中的分量表示。当以这种形式给出时，用行列式计算叉积是很方便的。
以上结果适用于笛卡尔坐标系。
如何找到交叉积-示例
因此，叉积是不可交换的。
- 发表于 2021-06-27 01:26
- 阅读 ( 379 )
- 分类：科学
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