For the product of vectors, the calculation formula is:

A=(x 1, y 1, z 1), B=(x2, y2, z2), and the product of a and b is x1x2+y1y2+z1.

For the cross product of vectors, the calculation formula is:

A=(x 1, y 1, z 1) and B=(x2, y2, z2), then the cross product of a and b is

Extended data

The product of two vectors (inner product, dot product) is a quantity (undirected), which is denoted as a B. The coordinate of the product of one vector is expressed as a b = x x'+y y'.

The cross product (outer product, cross product) of two vectors A and B is a vector, denoted as a×b (here × "is not a multiplication symbol, but a representation method, which is different from" ∧ "). If a and b are not * * * lines, the modulus of a×b is: ∣ A× B ∣ = | A || B | SIN < A, b >；; The direction of a×b is perpendicular to A and B, and A, B and a×b form a right-handed system in this order. If A and B are vertical, then ∣a×b∣=|a|*|b|

Reference Baidu Encyclopedia-Vector