Consider the planes 2r-2y+z=1 and r-y-z=5. What is the cosine of the angle between the two planes arkay your answer. (b) Find a parametrization of the line of intersection of these planes. Find the equation of the plane that passes through the line you found in (b), and is perpendicular to the plane-x+2y-2z = -13.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
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1. Consider the planes 2r - 2y + z = 1 and z-y-z = 5.
(b)
(c)
What is the cosine of the angle between the two planes ay your
answer.
Find a parametrization of the line of intersection of these planes.
Find the equation of the plane that passes through the line you found
in (b), and is perpendicular to the plane -x +2y-2z = -13.
Transcribed Image Text:1. Consider the planes 2r - 2y + z = 1 and z-y-z = 5. (b) (c) What is the cosine of the angle between the two planes ay your answer. Find a parametrization of the line of intersection of these planes. Find the equation of the plane that passes through the line you found in (b), and is perpendicular to the plane -x +2y-2z = -13.
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