In the Cartesian coordinate system (x,y,z), the vector field A is given by
A=zi+xj+yk,
where i,j, and k are the fundamental vectors in the x,y, and z directions, respectively. The surface S is given by
S: z=x²-y² ( x²+y²≤a²)
where a is a positive constant. Solve the following problems.
Obtain ∇×A and ∇.A