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Homework Statement
Show that an arbitrary vector V can be expressed in terms of any three noncoplanar vectors, A, B, C, according to:
V = [V,B,C]A/[A,B,C] + [V,C,A]B/[A,B,C] + [V,A,B]C/[A,B,C]
Homework Equations
A Hint is given:
We know that V can be expressed as aA + bB +cC; to find a, take the scalar product of V with BxC
The Attempt at a Solution
I tried to solve this one by relating the projections of V to 3 arbitrary vectors, A, B, C, but I couldn't get to the answer above. I'm also not sure how the hint will help me either. Could someone please help me get started on this because I am all out of ideas.
thanks