This is a watershed from the algebraic operation of elementary mathematics (only the operation of size) to the theory of advanced mathematics (with size and direction). I hope you study hard.

The earliest introduction of vectors was related to physics.

In physics and our daily life, many quantities can be expressed by numerical values, such as the temperature, mass and volume of objects. These quantities are called scalars.

In physics, some quantities are not only related to size, but also to direction.

Such as force, displacement, etc. At this time, if you use a number like 10 N, it is obviously not clear enough. Because the direction of this force is unknown, a new quantity needs to be introduced.

This is a vector. Only in this way can we learn physics problems better and more clearly.

(After introducing vectors, it also makes some complicated mathematical geometry proofs simple. )