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OX, OY and OZ are three edges of a cube ...

OX, OY and OZ are three edges of a cube andn P,Q,R are the vertices of rectangle OXPY, OXQZ and OYSZ respectively. If `vec(OX)=vecalpha, vec(OY)=vecbeta and vec(OZ)=vecgamma express vec(OP), vec(OQ), vec(OR) and vec(OS) in erms of vecalpha, vecbeta and vecgamma.

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