Question: Solving a Vector Equation.

I have a complicated vector equation that I'm trying to solve.

(W x V) / [(W x V) . (W x V)] = A / (A . A)

where x is the cross product and . is the dot product.

Here is what I know, v1, v2, v3, a1, a2, a3, and i know the magnitude of w.

I need to find w1, w2, w3 in terms of v's and a's only. 

I tried using the solve function but I'm not getting anywhere using that.

Any help would be greatly appreciated.

 

Thanks.

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