D1.6. Transform to cylindrical: (a) F = 10a, - 8a, + 6a, at point P(10,-8,6); (b) G = (2x + y)a, - (y - 4x)a, at point Q(p,0, z). (c) Give the rectangular components of the vector H = 20a, - 10ag + 3a, at P(x = 5,y = 2,z = -1). Ans. 12.81a, + 6a,; (2pcos² Ø – p sin? Ø + 5p sin Ø cos Ø)a, - (4p cos? Ø - p sin? Ø – 3p sin Ø cos Ø)a; Hx = 22.3, Hy = -1.857, H, = 3.

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D1.6.
Transform to cylindrical: (a) F = 10a, – 8a, + 6az at point P(10,-8,6); (b) G = (2x + y)a,- (y- 4x)a, at point
Q(p,Ø, z). (c) Give the rectangular components of the vector H = 20a, - 10ag + 3a, at P(x = 5, y = 2,z = -1).
Ans. 12.81a, + 6a,; (2p cos? Ø - p sin? Ø + 5p sin Ø cos Ø)a, - (4p cos? Ø – p sin? ø – 3p sin Ø cos Ø)ao; Hx = 22.3, Hy
= -1.857, H, = 3.
Transcribed Image Text:D1.6. Transform to cylindrical: (a) F = 10a, – 8a, + 6az at point P(10,-8,6); (b) G = (2x + y)a,- (y- 4x)a, at point Q(p,Ø, z). (c) Give the rectangular components of the vector H = 20a, - 10ag + 3a, at P(x = 5, y = 2,z = -1). Ans. 12.81a, + 6a,; (2p cos? Ø - p sin? Ø + 5p sin Ø cos Ø)a, - (4p cos? Ø – p sin? ø – 3p sin Ø cos Ø)ao; Hx = 22.3, Hy = -1.857, H, = 3.
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