(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that an arbitrary vectorVcan 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]

2. Relevant equations

A Hint is given:

We know thatVcan be expressed as aA+ bB+cC; to find a, take the scalar product ofVwithBxC

3. The attempt at a solution

I tried to solve this one by relating the projections ofVto 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 Im all out of ideas.

thanks

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# Homework Help: Vector Analysis Homework

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