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Math Help - Ordered triple of a vector

  1. #1
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    Ordered triple of a vector

    Find an ordered triple of a vector a\rightharpoonup so that a\rightharpoonup is perpendicular to the plane containing the points B(0, 0, 0), C(5, 3, 7), and D(-5, 7, 4).

    No idea where to start, and my book isn't helping much...

    Thanks!
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by Failbait View Post
    Find an ordered triple of a vector a\rightharpoonup so that a\rightharpoonup is perpendicular to the plane containing the points B(0, 0, 0), C(5, 3, 7), and D(-5, 7, 4).

    No idea where to start, and my book isn't helping much...

    Thanks!
    get the vectors BC and CD..
    get their cross product..
    the resulting vector is perpendicular to both BC and CD, and hence perpendicular to the plane that contains B, C and D.
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