For the spherical coordinate system described in Prob. 2.100, if the direction angles fo...

For the spherical coordinate system described in Prob. 2.100, if the direction angles for the position vector from the origin of the coordinate system to point P are known, determine the values for r, θ, and φ. Hint: Several approaches may be used to solve this problem, but a straightforward solution is to firs solve Prob. 2.100, and then use those results to solve this problem.