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Math Help - vector parallel and perpendicular to plane

  1. #1
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    vector parallel and perpendicular to plane

    There is a plane 3x - y +7z = 21

    Find a vector parallel, and a vector perpendicular to this plane.

    Thanks!
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  2. #2
    Eater of Worlds
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    A plane has a normal(perpendicular) vector of n=<a,b,c>

    Where ax+by+cz+d=0


    To find a parallel vector, find a vector which is perpendicular to the normal.

    The dot product of this vector and the normal vector is 0.

    Intuitively, there should be a quick one to come up with.
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