1. Let P(1,1, -1), Q(1,2,0), and R(-1,0,0) be given points. Give the equation of the plane containingthe point R, that is orthogonal to the plane 2x − y + 5z - 3 = 0 and that is parallel with the vector PQ.2. Give the equation of the plane containing the intersection of planes 4x – y + 3z − 1 = 0 andx + 5y-z+2= 0, and that is orthogonal to the plane 2x - y + 5z − 3 = 0.

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1. Let P(1, 1,-1), Q(1,2,0), and R(-1,0,0) be given points. Give the equation of the plane containing the point R, that is orthogonal to the plane 2x - y + 5z -3= 0 and that is parallel with the vector PQ.

1. Let P(1, 1,-1), Q(1,2,0), and R(-1,0,0) be given points. Give the equation of the plane containing the point R, that is orthogonal to the plane 2x - y + 5z -3= 0 and that is parallel with the vector PQ.

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 2E

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Question

1. Let P(1,1, -1), Q(1,2,0), and R(-1,0,0) be given points. Give the equation of the plane containing
the point R, that is orthogonal to the plane 2x − y + 5z - 3 = 0 and that is parallel with the vector PQ.
2. Give the equation of the plane containing the intersection of planes 4x – y + 3z − 1 = 0 and
x + 5y-z+2= 0, and that is orthogonal to the plane 2x - y + 5z − 3 = 0.

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