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Math Help - Cross Product Vector Help

  1. #1
    Junior Member
    Sep 2009

    Cross Product Vector Help

    Heres the problem:

    Suppose that A is a point not on the plane determined by the three points P,Q, and R. Calculate in two ways the volume of the pyramid APQR to show that the perpendicular distance from A to this plane is:

    d = | AP dot product (AQ X AR)| divided by |PQ X PR|
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  2. #2
    MHF Contributor Calculus26's Avatar
    Mar 2009
    This may not be in the spirit of the question but

    If the ultimate goal is to find the distance of point A to the plane formed by P,Q, and R then :

    1.PQxPR is a vector perpindicular to this plane

    2. d= magnitude of the projection of AP on PQxPR

    d= AP*(PQxPR)/|PQxPR|
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