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Evaluate scalar triple products

  1. Nov 15, 2011 #1

    sharks

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    http://s2.ipicture.ru/uploads/20111115/BiYq94IS.jpg

    Here is the determinant for axb:
    w x y z
    1 -2 3 -4
    -1 2 4 -5

    Then, how to proceed?? Can someone please help?
     
    Last edited: Nov 15, 2011
  2. jcsd
  3. Nov 15, 2011 #2

    rock.freak667

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  4. Nov 16, 2011 #3

    sharks

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    My confusion is how to get a 3x3 determinant when the vectors a, b and c are presented as being in R^4.
    For example, when i make the determinant for c.(axb), i get:

    c1 c2 c3 c4
    a1 a2 a3 a4
    b1 b2 b3 b4

    But it's not possible to evaluate such a 3x4 determinant, right? And the question is requesting that i evaluate a 3x3 determinant.

    Any ideas?
     
    Last edited: Nov 16, 2011
  5. Nov 16, 2011 #4

    HallsofIvy

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    I guess the question is "How is the triple product of two vectors defined in R4"?
     
  6. Nov 16, 2011 #5

    sharks

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    I honestly have no idea, but this is really the entire question:
    http://s2.ipicture.ru/uploads/20111115/BiYq94IS.jpg
     
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