计算左手坐标的叉积的方法是否会发生变化? [英] Does the method for computing the cross-product change for left handed coordinates?
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问题描述
计算左手坐标的叉积的方法有变化吗?
Does the method for computing the cross-product change for left handed coordinates?
推荐答案
向量(x1, x2, x3)和(y1, y2, y3)的叉积公式) 是
z1 = x2 * y3 - x3 * y2
z2 = x3 * y1 - x1 * y3
z3 = x1 * y2 - x2 * y1
它的设计方式是给定顺序的三个向量x、y和z具有与坐标相同的手性系统本身.此属性不依赖于坐标系的手性——对于左手坐标系，向量满足左手规则.您无需对公式进行任何更改.
It is designed in a way that the three vectors x, y and z in the given order have the same handedness as the coordinate system itself. This property does not depend on the handedness of the coordinate system -- for a left-handed coordinate system the vectors fulfil the left-hand rule. You don't need to change anything about the formula.
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