A tetrahedron has vertices \( \mathrm{P}(1,2,1), \mathrm{Q}(2,1,3), \mathrm{R}(-1,1,2) \) and \(...
A tetrahedron has vertices \( \mathrm{P}(1,2,1), \mathrm{Q}(2,1,3), \mathrm{R}(-1,1,2) \) and \( \mathrm{O}(0,0,0) \). The angle between the faces \( \mathrm{OPQ} \) and \( \mathrm{PQR} \) is:
\(1) \( \cos ^{-1}\left(\frac{17}{31}\right) \)
(2) \( \cos ^{-1}\left(\frac{19}{35}\right) \)
(3) \( \cos ^{-1}\left(\frac{9}{32}\right) \)
(4) \( \cos ^{-1}\left(\frac{7}{31}\right) \)
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