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Math Help - Normal vector and equations of the line

  1. #1
    Junior Member
    Joined
    Mar 2009
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    63

    Normal vector and equations of the line

    Find parametric equations of the line that passes through the center of the sphere

    x ^2+ y - 14 y^2 + 53 + z^2 + 4 z = 1
    and is perpendicular to the plane
    10 x - 6 y + 7 z = -1
    .


    ================================

    The freaking computer keeps telling me that my normal vector and equations of the line are incorrect. Here is what i currently have.

    DirectionVector:= [10*x,-6*y,7*z];

    EquationsOfLine:= [10*t,7-6*t,-2+7*t];
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  2. #2
    MHF Contributor
    Joined
    Nov 2008
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    France
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    Hi

    Maybe your problem comes from the fact that x^2+ y  - 14 y^2 + 53 + z^2  + 4 z = 1 is not the equation of a sphere
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