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A point is given in the spherical system. Its height above the xy plane works out as

  • A.\( r \)
  • B.\( r \cos\theta \)
  • C.\( r \sin\theta \)
  • D.\( r \sin\theta \cos\phi \)

Answer: B

The polar angle is measured from the z axis, so the projection of the radius onto that axis is the cosine. The projection onto the xy plane is \( r \sin\theta \), which then divides between x and y by the azimuthal angle.

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