■What is a vector field? Difference from a scalar field
A vector field is a field that has vector components at a certain point on the coordinate system. In contrast, a scalar field is a field that has only scalar values at a certain point on the coordinate system.
■How to express a vector field
A vector field can be expressed as follows.
It can also be expressed as a matrix as shown below.
■Example of a vector field
Various vector fields can be expressed by changing the coefficients of the matrix as shown below.
■How to draw a vector field
How to draw a vector field using Python is explained here.