F(x,y,z] = yi xj (third coordinate function is 0). In addition 8: {(.r._y.::) E R3 | .r'2+y2 = 1 ja U S 3 S 3} is lateral surface of the cylinder 5. The unit normal n points out of the axis of symmetry of the cylinder 5. a) dramr a sketch depicting the unit normal n and positive directions of perimeters of the lateral surface S. b) calculate the surface integral directly c) calculate the surface integral with the Stokes theorem for b) and c): f/{JVxFlndS