5. (Extra credit) Consider the velocity field 7 = (10z, 0, -10x). (a) Calculate the divergence of v. Is the flow divergence free? (b) Calculate the curl of U. Is the flow irrotational? (c) If a paddle wheel is oriented with n = (1, 0,0), in what direction does the wheel spin? (d) If a paddle wheel is oriented with n = (0, 1, 0), in what direction does the wheel spin? (e) If a paddle wheel is oriented with n = (0, 0, 1), in what direction does the wheel spin