Three non-zero, non-parallel and non-coplanar vectors a, b and c are given. Three further vectors are written

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Three non-zero, non-parallel and non-coplanar vectors a, b and c are given. Three further vectors are written in terms of a, b and c as

A = = aa + Bb + yc B = a'a + p'b + y'c C = d

Find how the triple scalar product A· (B × C) is related to a · (b × c).

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