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Three planes A, B and C intersect at point P. The dihedral angle between A and B is $\theta$ and the dihedral angle between B and C is $\psi$.

  1. Solve for the dihedral angle between by A and C.

  2. Planes A and B intersect plane C in two lines that form angle QPR. That is, point Q lies in both A and C, and point R lies in both B and C. Solve for the angle of QPR in terms of $\theta$ and $\psi$.

  3. Does this fall under trigonometry? If not, what?

  • 0
    You may want to tag this as differential geometry too.2010-11-29
  • 1
    No, differential geometry involves derivatives. This is pure vector geometry.2010-11-29

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