平面向量是解答立体几何问题的一种快速、简捷的运算工具.不少复杂的立体几何问题,引入平面向量后,通过将空间元素的位置关系转化为数量关系,将过去的形式逻辑证明转化为数值运算,即借助平面使解题模式化,用机械性操作把问题转化,因此,平面向量为立体几何代数化带来了极大的便 Plane vector is a fast and simple computing tool for solving three-dimensional geometric problems. Many complex three-dimensional geometric problems, after introducing the plane vector, transform the positional relationship of spatial elements into the quantitative relationship, transform the formal logic proof of the past into Numerical calculations, ie, the use of planes to model the problem, transforms the problem with mechanical manipulations. Therefore, the planar vector brings great benefits to the algebraization of the three-dimensional geometry.