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thercias
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Homework Statement
if A' = BxC/(A.BxC)
B' = CxA/(A.BxC)
C' = AxB/(A.BxC)
prove that A = B'xC'/(A'.B'xC')
B = C'xA'/(A'.B'xC')
C=(A'xB')/(A'.B'xC')
Homework Equations
The Attempt at a Solution
I was sort of lost on how to do this. First I tried to simplify a', b', and c' and plug those into a, b, c but that didn't work out.
then i took the dot product of A' with A
so A'.A = A.(BxC)/(A.BxC) = 1
doing the same for B' and C' makes the answer 1 too. then i did the dot product of A with A' and got 1, and same result for B and C. I'm not sure if that means anything, but now I'm kind of stuck on how to solve this.