Unformatted text preview: ∈ R n be the vertices of a regular tetrahedron, i.e., the distances  p ip j  for i 6 = j are all equal. Let q be the center of mass of the face with vertices p 1 ,p 2 ,p 3 . Compute the cosine of the angle at p 4 made by the vectors qp 4 and p 1p 4 . [Hint: the answer does not depend on the coordinates of p 1 , ..., p 4 , as long as the distances between any two of them are the same. Pick nice coordinates!] 1...
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 Spring '06
 McAdam
 Polyhedron, AirTrain Newark, Tromba, MATH 427LAP HOMEWORK

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