1, vector addition

Algorithm of vector addition;

Exchange law: a+b = b+a;

Law of association: (a+b)+c=a+(b+c).

2. Vector subtraction

If A and B are mutually opposite vectors, then the reciprocal of A =-B, B =-A and A+B = 0.0 is 0.

AB-AC=CB。 That is, "* * * the starting point is the same, and the direction is reduced"

A=(x, y) b=(x', y') Then a-b=(x-x', y-y').

4. Multiply the number by the vector

The distribution law of vector logarithm (first distribution law): (λ+μ)a=λa+μa 。

The distribution law of number pair vector (second distribution law): λ(a+b)=λa+λb 。

Extended data:

means of expression

1, algebraic representation

General printing is represented by lowercase English letters (a, b, c, etc.). ) bold, while handwriting is indicated by adding an arrow (→) before the letters A, B and C, for example

You can also use the capital letter AB, CD and arrow (→), for example.

2. Geometric representation

A vector can be represented by a directed line segment. The length of the directed line segment indicates the size of the vector, the size of the vector, that is, the length of the vector. A vector of length 0 is called a zero vector, and a vector of length 1 unit is called a unit vector.

References:

Baidu Encyclopedia-Vector