Addition of vectors OB+OA=OC. A+b=(x+x', Y+Y'). A+0 = 0+A = A. Algorithm of vector addition: exchange rule: A+B = B+A; Law of association: (a+b)+c=a+(b+c).

Vector subtraction: If A and B are opposite vectors, then a=-b, b=-a, and A+B = the reciprocal of 0. 0 is 0.

Vector multiplication formula: vector a? Vector b =| vector a|*| vector b|*cos, let vector a=(x 1, y 1), vector b=(x2, y2), | vector a | = √ (x12+y1)

Division of vectors: a÷k = | a |/k * a unit vector. That is, the result is a vector whose length is reduced by k times, and its direction remains the same.

In mathematics, vectors (also known as Euclidean vectors, geometric vectors and vectors) refer to quantities with magnitude and direction. It can be imagined as a line segment with an arrow. The arrow indicates the direction of the vector; Line segment length: indicates the size of the vector. The quantity corresponding to a vector is called a quantity (called a scalar in physics), and a quantity (or scalar) has only a size and no direction.

Vector notation: print letters (such as A, B, U, V) in bold, and add a small arrow "→" at the top of the letter when writing. If the starting point (a) and the ending point (b) of the vector are given, the vector can be recorded as AB (and added to the top →). In the space Cartesian coordinate system, vectors can also be expressed in pairs. For example, (2,3) in the xOy plane is a vector.