Find the parametric equations for the line through the point P = (-1, 4, -4) that is perpendicular to the plane 2x−4y−2z=1.2x−4y−2z=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 =  y =  z =  (B) At what point Q does this line intersect the yz-plane? Q = ( ,  ,  )

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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Find the parametric equations for the line through the point P = (-1, 4, -4) that is perpendicular to the plane 2x−4y−2z=1.2x−4y−2z=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 = 
y = 
z = 

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

Q = ( ,  ,  )

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