向量的外积运算满足分配律,即对于任意向量有它的证明方法和向量代数中的其他算律的证明方法不同,不是直接根据定义来验证的(直接验证非常繁锁),而是借助于几何直观的分析,引进了两个辅助向量来证明的。这个证明方法很巧妙,但不知它是怎么被想出来的。似乎从天而降。另一方面,这个证法显得很孤立,与其他内容很少联系,似乎学了它对解题能力的提高 The outer product operation of the vector satisfies the distributive law. That is to say, the proof method for an arbitrary vector has different methods from the other arithmetic methods in vector algebra. It is not directly verified by the definition (direct verification is very cumbersome), but by means of Geometrically intuitive analysis was introduced using two auxiliary vectors. This method of proof is very clever, but I do not know how it was thought out. It seems to fall from the sky. On the other hand, this statute is very isolated and seldom related to other contents, it seems that it has improved its ability to solve problems.