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Math Help - volume of the parallelepiped

  1. #1
    Member kezman's Avatar
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    volume of the parallelepiped

    I have the three building vectors of two different parallelepipeds.

    P = e1, e2, e3

    G = ae3+e1, be3+e2, e3

    I have to prove that

    |(e1Xe2).e3| = |((ae3+e1)X(be3+e2)).e3|

    where X vector product and
    . scalar product

    thanks.
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  2. #2
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    Re: volume of the parallelepiped

    see this :
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