Ans. C Dt.6. Transform to cylindrical: (a) F= 10a,-8a, + 6a, at point P(10,-8,6); (b) G = (2x +y)ax-(y-4x)ay at point OP,0,2). (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 cos²0-p sin2 Ø + 5p sin Ø cos Ø)a,- (4p cos? Ø- p sin? ø- 3p sin0 cos 0)ag; Hx = 22.3, Hy

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Ans. C(x
Dt.6.
transform to cylindrical: (a) F= 10a,-8a, + 6a, at point P(10,-8, 6); (b) G= (2x+y)ax-(y- 4x)ay at point
QP, 0,2). (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 cos²0-p sin2 Ø+ 5p sin Ø cos Ø)a, - (4p cos? Ø -p sin? ø- 3p sin Ø cos Ø)ag; Hx =22.3, Hy
%3D
Transcribed Image Text:Ans. C(x Dt.6. transform to cylindrical: (a) F= 10a,-8a, + 6a, at point P(10,-8, 6); (b) G= (2x+y)ax-(y- 4x)ay at point QP, 0,2). (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 cos²0-p sin2 Ø+ 5p sin Ø cos Ø)a, - (4p cos? Ø -p sin? ø- 3p sin Ø cos Ø)ag; Hx =22.3, Hy %3D
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