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

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 = (, , ).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),

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

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