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)