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Find the spherical coordinates of A(2,3,-1)(a) (3.74, 105.5⁰, 56.13⁰)(b) (3.74, 105.5⁰, 56.31⁰)(c) (3.74, 106.5⁰, 56.13⁰)(d) (3.74, 106.5⁰, 56.31⁰)This question was addressed to me in an online quiz.My question comes from Spherical Coordinate System in division Coordinate Systems and Transforms of Electromagnetic Theory |
Answer» RIGHT CHOICE is (B) (3.74, 105.5⁰, 56.31⁰) EXPLANATION: R = √(x^2+y^2+z^2) = √14 = 3.74 Θ = cos^-1(z/r) = cos^-1(-1/3.74) = 105.5⁰ Φ = tan^-1(y/x) = tan^-1(3/2) = 56.31⁰. |
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