Find an equation for the plane that passes through the point (-7, 10, –8), isparallel to the line= 6 – t, y = 9+t, z = –5+ 2t,and intersects the plane 2.x + y – z =at a 30° angle.

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Find an equation for the plane that passes through the point (-7, 10, –8), is parallel to the line x = 6 – t, y = 9+t, z = -5 + 2t, and intersects the plane 2.x + y – z = = eV? at a 30° angle.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 19EQ

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Question

Find an equation for the plane that passes through the point (-7, 10, –8), is
parallel to the line
= 6 – t, y = 9+t, z = –5+ 2t,
and intersects the plane 2.x + y – z =
at a 30° angle.

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