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Math Methods Question about triple product

  1. Sep 30, 2011 #1
    "when does this calculation come up in physics, and with what slight modification?"

    a' = [b x c]/[a*[(b x c)]], b' = [c x a]/[a*[(b x c)]], c' = [a x b]/a*[(b x c)]]

    a* (b x c) does not equal 0 (* is dot product and (x) is cross product)


    2. Relevant equations
    Show that:
    x'*y = delta_xy, where x, y E{a,b,c}
    a' * (b'xc') = [1]/a*[(b x c)]]
    a =[b' x c']/a'*[(b' x c')]]


    3. I was able to show those relationships using Levi Civita but have no idea where I would use this
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 30, 2011 #2

    ehild

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