What are the common operations of vectors?

1, addition: the vectors AB and BC are known, and then the vector AC is called the sum of AB and BC, marked AB+BC, that is AB+BC=AC.

2, subtraction: AB-AC=CB, this calculation rule is called the triangle rule of vector subtraction, abbreviated as: * * * * starting point, connecting the midpoint, the finger is subtracted.

3. Number multiplication: the product of real number λ and vector A is a vector. This operation is called vector multiplication, which is denoted as λ A ... when λ >; 0, the direction of λa is the same as that of A, and when λ

Extended data:

Given two non-zero vectors a and b, a.b = | a || b | cos θ (θ is the angle between a and b) is called the quantitative product or inner product of a and b, which is denoted as a.b. The product of zero vector and arbitrary vector is 0. The geometric meaning of product a b is the product of the length of a |a| and the projection of b in the direction of a |b|cos θ.

The product of two vectors equals the sum of the products of their corresponding coordinates. That is, if a = (x 1, y 1) and b = (x2, y2), a b = x 1 x2+y 1 y2.