D1.6. Transform to cylindrical coordinates: (a) F = 10ax - 8ay +6az at point P(10, −8, 6); (b) G = (2x+y)ax — (y — 4x)ay at point Q(p, &, z). (c) Give the rectangular components of the vector H = 20a, — 10a$ + 3a² at P(x y = 2, z = −1). = 5, Ans. 12.81a,+6az; (2p cos² − p sin² +5p sin cos )ap + (4p cos² − p sin² - 3p sin cos )ap; Hx = 22.3, Hy = −1.857, H₂ = 3