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Math Help - Parametric Equation parallel to Plane

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    Parametric Equation parallel to Plane

    Hey, I'm having trouble finding out if this parametric equation; [x,y,z] = {5-t},{-3+2t},{-1-5t} is parallel to the plane; -3x+y+z=9
    I think the point that is in the parametric equation is [5,-3,-1] but I am unsure of how it relates to the plane.
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    Re: Parametric Equation parallel to Plane

    Quote Originally Posted by Volgra View Post
    Hey, I'm having trouble finding out if this parametric equation; [x,y,z] = {5-t},{-3+2t},{-1-5t} is parallel to the plane; -3x+y+z=9
    I think the point that is in the parametric equation is [5,-3,-1] but I am unsure of how it relates to the plane.
    A line is parallel to a plane iff its direction vector is perpendicular to the normal of the plane.
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