One of the tasks of mathematics teaching is operation. Although we have learned many operations in compulsory education, such as monomial, polynomial, fractional operation, solving equations and equations, it has also given us some new functions in high school mathematics curriculum, such as exponential operation, logarithmic operation and vector operation.

Vector can not only be added and subtracted, but also multiplied. Vector not only has the function of operation, but also can be used as a tool to help us understand and solve the positional relationship and quantitative relationship between plane graphics and space graphics, such as ① proving that a straight line is vertical by vector multiplication. ② Solve the angle formed by two vectors, the angle formed by two straight lines on different planes, the angle between straight lines and planes, dihedral angles, etc. Calculated by vector multiplication. ③ Through vector coordinate operation, it can be proved that two vectors are parallel. ④ Through vector calculation, we can solve problems such as the distance between straight lines on different planes, the distance between points and planes, and the distance between two parallel planes.