In mathematics, a vector is a quantity with magnitude and direction, which can be visualized as a line segment with an arrow. The direction pointed by the arrow represents the direction of the vector and the length of the line segment represents the size of the vector. Vector is widely used in mathematics, such as physics, engineering, computer science and other fields.

In linear algebra, vector addition and multiplication are very important operations. Through these operations, we can add or multiply the vectors to get a new vector. In addition, vectors can also be used to represent points or directions in space.