Vectors in spherical and cylindrical

(a) Given A = a*p_hat + b*psi_hat + c*z_hat (cylindrical unit vectors), where a, b, and c are constants.  Is A a constant vector (uniform vector field)?  If not, find: the divergence and curl of A

(b) If A = a*r_hat + b*theta_hat + c*phi_hat in spherical coordinates, with constant coefficients.  Is A a constant vector (uniform vector field)?  If not, find:  the divergence and the curl of A.