1. Let c = (x,y,z).
(1) Calculate div c. div c =
(2) What is the magnitude of c on the unit sphere? Magnitude c =
(3) What is the surface integration of c with respect to the unit sphere?
2. Let d = (-y,x,0).
(1) Calculate curl d (or rot d). curl d =
(2) What is the magnitude of d on the unit circle? Magnitude d =
(3) What is the clockwise contour integration of d with respect to the unit circle?