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    Parametric Equation of a Line and Point of Intersection of Line Through a Plane

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    A) Find the parametric equations for the line through the point P = (3, -4, 0) that is perpendicular to the plane 2x + 0y+ 5z = 1
    Use "t" as your variable, t = 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane.

    x = 3+2t
    y = -4
    z = 5t

    (B) At what point Q does this line intersect the yz-plane?

    Q = (, , ).

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    https://brainmass.com/math/graphs-and-functions/parametric-equation-line-point-intersection-33258

    Solution Preview

    (B) At what point Q does this line intersect the yz-plane?

    Solution:

    From the parametric equations of the line found in part (A),

    ...

    Solution Summary

    The Parametric Equation of a Line and Point of Intersection of Line Through a Plane are found.

    $2.19

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