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## Main Question or Discussion Point

I am struggeling with the following problem:

give the x,y,z coordinates from the following ball points/vectors

1. (r, theta, phi) = (sqrt3, 3/4pi, 3/4pi)

2. (r, theta, phi) = (1, 1/6pi, 1 1/6pi)

the sollutions I found in my reader are as followed:

1. (x, y, z) = (-1/2 sqrt3, 1/2 sqrt3, -sqrt3/sqrt2)

2. (x, y, z) = 1/4 sqrt3, -1/4, 1/2 sqrt3)

can someone explain to me what was actually done here? I understand the conversion from carthesian coordinates to ball and cylinder coordinates but I can't seem to find the sollution for the other way around. Thanks a lot.

give the x,y,z coordinates from the following ball points/vectors

1. (r, theta, phi) = (sqrt3, 3/4pi, 3/4pi)

2. (r, theta, phi) = (1, 1/6pi, 1 1/6pi)

the sollutions I found in my reader are as followed:

1. (x, y, z) = (-1/2 sqrt3, 1/2 sqrt3, -sqrt3/sqrt2)

2. (x, y, z) = 1/4 sqrt3, -1/4, 1/2 sqrt3)

can someone explain to me what was actually done here? I understand the conversion from carthesian coordinates to ball and cylinder coordinates but I can't seem to find the sollution for the other way around. Thanks a lot.