I know the definitions of vector and scalar field but I don't know what is meant by them. Suppose a scalar field is given by $\phi(x,y,z) = 3xyz$. Then what does it mean? What is the relationship between this function and the scalar field?
I am having the same difficulty in understanding vector fields.
Can anyone show me how I can express the gravitational field by a function like I wrote? I think tgat will help me very much.