The algorithm is the cross product of vector a. vector b = | a || b | cos < a, b >, also called the outer product and cross product of vectors. The algorithm is | vector c|=| vector a× vector b | =| a ||||| b | sin.

Vector a vector b = | a || b | cos

Vector c|=| vector a× vector b | = | a |||| b | sin

Therefore, the outer product of vectors does not obey the multiplicative exchange rate, because vector a× vector b=- vector b× vector A. In physics, it is known that the geometric meaning of moment and arm of force, that is, the outer product of vectors, that is, the point multiplication of cross 2, can be used to describe or calculate the angle between two vectors and the projection of vector B in the direction of vector A.

Geometric significance of cross product In three-dimensional geometry, the result of cross product of vector A and vector B is a vector, or better, vector, which is perpendicular to the plane formed by vectors A and B. In 3D images, the concept of cross product is very useful. The third normal vector perpendicular to A and B can be generated by the cross product of two vectors, thus constructing X, Y and Z coordinate systems.