(a) Find a vector parallel to the line of intersection of the planes 2x − y − 3z = 0 and x + y + z = 1. (b) Show that the point (1, −1, 1) lies on both planes. (c) Find parametric equations for the line of intersection.
(a) Find a vector parallel to the line of intersection of the planes 2x − y − 3z = 0 and x + y + z = 1. (b) Show that the point (1, −1, 1) lies on both planes. (c) Find parametric equations for the line of intersection.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter12: Conic Sections
Section12.CR: Chapter Review
Problem 6CC
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(a) Find a vector parallel to the line of intersection of the planes 2x − y − 3z = 0 and x + y + z = 1.
(b) Show that the point (1, −1, 1) lies on both planes.
(c) Find parametric equations for the line of intersection.
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