高维欧氏空间中向量的外积

摘要

指出了对高维欧式空间中向量外积定义的不足,从几何空间中向量外积的几何描述入手,经过简洁的证明推导,重新提出了高维欧式空间中向量外积的定义,并得出了若干相关结论.%The paper pointed out the lack of the definition for exterior product in higher Euclidean space.Starting from the geometric describing of external product in geometric space,after tersely attesting and deriving,writer represents the definition of the external product in higher Euclidean space outside and results some conclusions.