DISCOVER: Intersection of a Line and a Plane A line hasparametric equationsx = 2 +1y = 3t := 5 -1and a plane has equation 5x – 2y – 2: = 1.(a) For what value of t does the corresponding point on theline intersect the plane?(b) At what point do the line and the plane intersect?

Given parametric equation of the line is , x=2+t , y=3t , z=5-tand the equaation of the plane is…

Answered: DISCOVER: Intersection of a Line and a…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.6: Equations Of Lines And Planes

Problem 35E

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DISCOVER: Intersection of a Line and a Plane A line has parametric equations x = 2 +1 y = 3t := 5 -1 and a plane has equation 5x – 2y – 2: = 1. (a) For what value of t does the corresponding point on the line intersect the plane? (b) At what point do the line and the plane intersect?