向量既有大小也有方向,是联系几何与代数的桥梁纽带.对于向量问题如果能够充分利用相关的几何与代数知识,通常可以简单解决.现在的教与学,过多关注向量的代数运算,很少关注向量的几何特征.然而有些向量问题用其代数运算是 Vector has both size and direction, and it is a bridge between contact geometry and algebra.For vector problems, if we can make full use of the related knowledge of geometry and algebra, we can usually solve it easily.At present, teaching and learning, too much attention to vector algebra, There is less concern about the geometric properties of vectors, however some vector problems use their algebraic behavior