摘要：向量作为沟通"数"与"形"的桥梁,是利用数形结合解决问题的一种重要载体。已有不少文章研究了向量的性质，但是关于如何用向量求解代数的研究尚不多见。本文通过涉及几何学、三角函数、不等式及等式证明等多类问题的讨论，给出其适用的类型及使用的技巧。

关键词：向量; 法向量; 向量运算

Abstract：Vector as communication “number” and “form” bridge, is the use of several form combined with the solution to the problem of an important carrier. For many the study on the nature of the vector, but about how to solve the research with vector algebra is rare. This article through involving geometry, triangle function, inequality and equation and prove the discussion of the class is presented, and the applicable type and use skills. 

Key words：vector;  normal vector; Vector operation