= D1.5. (a) Give the rectangular coordinates of the point C(p = 4.4, -115°, z=2). (b) Give the cylindrical coordinates of the point D(x = -3.1, y = 2.6, z = -3). (c) Specify the distance from C to D. Ans. C(x = -1.860, y = -3.99, z = 2); D(p = 4.05, & = 140.0°, z = -3); 8.36 D1.6. Transform to cylindrical coordinates: (a) F = 10ax-8ay +6a₂ at point P(10, -8, 6); (b) G = (2x+y)ax - (y-4x)ay at point Q(p, o, z). (c) Give the rectangular components of the vector H = 20ap - 10a + 3az at P(x = 5, y = 2, z= -1). Ans. 12.81ap+6az; (2p cos² -p sin² +5p sin cos )ap + (4p cos² -p sin² -3p sin cos )a; Hx = 22.3, Hy = −1.857, H₂ = 3