Basic operations of vectors

Negative vector operation: (take all the numbers in a vector negative)

[ -1,-2,-3]

Negative vector interpretation in geometry:

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Vector modulo: (length of the orientation amount)

2D vector Length:

3D vector Length:

[x, Y, z] seeking length = | |  [x, Y, z] | | = square root (x ^ 2 + y ^ 2 + z ^2)

addition and subtraction of vectors:

[+] + [2,3] = [3,5] A + B! = Two total lengths of vectors

[1,2]–[2,3] = [ -1.-1]

dot multiplication of vectors:

[To] * [2,3] = [2,6]

Function: Usually used to calculate the angle between two vectors (A),

A=90°	Vectors perpendicular to each other
0°≤a < 90°	Vector in the same direction
90°< a≤180°	Vectors in the opposite direction

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Cross-multiplication of vectors: formula for (3D) vectors

The function of a vector:

1. The result of the two vector fork multiplication is a new vector perpendicular to (a, B)

2. The area of two vectors can be obtained

Basic operations of vectors