What are the operational formulas for vectors?

The coordinates of the product of plane vectors are expressed as: If a=(x? ，y？ )，b=(x？ ，y？ ), so a b = x? x？ +y？ y？ .

Given two non-zero vectors a and b, then |a||b|cosθ(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, and the product of the two vectors is equal to the sum of the products of their corresponding coordinates. The product of quantity a b is equal to the product of the length of a |a| and the projection of b in the direction of a |b|cosθ.

vectors

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.

In physics and engineering, geometric vectors are more often called vectors. Many physical quantities are vectors, such as the displacement of an object, the force exerted on it by a ball hitting a wall and so on. On the contrary, it is scalar, that is, a quantity with only size and no direction. Some definitions related to vectors are also closely related to physical concepts. For example, vector potential corresponds to potential energy in physics.

Refer to the above content: Baidu Encyclopedia-Vector