Select the answer from given In this equation you may have to find the Spherical

Question

Select the answer from given

In this equation you may have to find the Spherical Coordinates ( rho, theta, Phi) of a point given Cartesian Coordinates(x, y, z). The correct answer will be one of the following: (2, -3 pi /4, pi /4) (2, - pi /4, pi /4) (2, pi /4, pi /4) (2, 3pi /4, pi /4) (2, -3pi /4, pi /2) (2, -pi /4, pi /2) (2, pi /4, pi /2) (2, 3pi /4, pi /2) (2, -3pi /4, 3pi /4) (2, -pi /4, 3pi /4) (2, pi /4, 3pi /4) (2, 3pi /4, 3pi /4) Hint: Given the above, considering just the signs of x, y, z, or whether they are zero, is enough to determine the correct theta and Phi. If (x, y, z) = (1, 1, -Sqrt(2)), then (rho, theta, Phi ) = Answer is a of the form (1, pi /2, pi /3) If (x, y, z) = (-Sqrt(2), Sqrt(2),0), then (rho, theta, Phi ) = Answer is a of the form (1, pi /2, pi /3) If (x, y, z) = (Sqrt(2), -Sqrt(2),0), then (rho, theta, Phi ) = Answer is a of the form (1, pi /2, pi /3)

Explanation / Answer

1.(2, pi/4, 3pi/4)

2. (2, 3pi/4, pi/2)

3. (2, -pi/4, pi/2)

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