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Math Help - Vector proof

  1. #1
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    Nov 2010
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    Vector proof

    Given that

    a+b+c = 0

    I need to prove;

    a x b = b x c = c x a

    How do i go about doing this?
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  2. #2
    Senior Member
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    I'll do one as an example:

    c x a = (-a - b) x a = (-a x a)+ (-b x a) = -(a x a) + (a x b) = 0 + (a x b) = a x b.
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