(a) Find a vector parallel to the line of intersection of the planes 2x + 5y + 2z = -9 and x y – 2z = 2. | (b) Show that the point (-1, -1,–1) lies on both planes. Then find a vector parametric equation for the line of intersection. F(t)

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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Question
6 Lines Planes 10.5:
Problem 5
(a) Find a vector parallel to the line of intersection of the planes
2х + 5у + 2z
-9 and x
2z
2.
-
-
i =
(b) Show that the point (-1,-1, –1) lies on both planes.
Then find a vector parametric equation for the line of
intersection.
F(t) =| |
Transcribed Image Text:6 Lines Planes 10.5: Problem 5 (a) Find a vector parallel to the line of intersection of the planes 2х + 5у + 2z -9 and x 2z 2. - - i = (b) Show that the point (-1,-1, –1) lies on both planes. Then find a vector parametric equation for the line of intersection. F(t) =| |
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