8. Let a be the plane that goes through the origin and has normal (1, 2, 3) and let 3 be the plane thatgoes through the origin and has normal (4, 5, 6). Find a vector that spans the intersection of these twoplanes. Justify your answer.Hint: One approach is to start by finding the equations for these planes. Geometrically, what are thesolutions of the system formed by the two equations?

Answered: Image /qna-images/answer/531e0d04-4aff-491f-a158-4728d2bb2c85.jpg

Answered: 8. Let a be the plane that goes through…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 48EQ

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8. Let a be the plane that goes through the origin and has normal (1,2,3) and let 3 be the plane that goes through the origin and has normal (4, 5, 6). Find a vector that spans the intersection of these two planes. Justify your answer.