3. Find the plane that satisfies the following conditions: (a) The plane that passes through the points (1,0, 3), (0, 4, 2), and (1, 1, 1). (b) The plane that passes through the point (1,0, 4) and has normal vector ñ = proje (a), where a = (1, 0, 2) and 7 = (-1, 1, –1).
3. Find the plane that satisfies the following conditions: (a) The plane that passes through the points (1,0, 3), (0, 4, 2), and (1, 1, 1). (b) The plane that passes through the point (1,0, 4) and has normal vector ñ = proje (a), where a = (1, 0, 2) and 7 = (-1, 1, –1).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 4EQ
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![3. Find the plane that satisfies the following conditions:
(a) The plane that passes through the points (1, 0, 3), (0, 4, 2), and (1, 1, 1).
=
(b) The plane that passes through the point (1,0, 4) and has normal vector n
projz (ā), where a = (1, 0, 2) and 6 = (–1, 1, –1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1784d6b6-d0da-4ca6-88bb-f1a2aff3fb92%2F89dd16d6-8e6a-4f8b-af0b-a0271ceee857%2Fy0j7bd5_processed.png&w=3840&q=75)
Transcribed Image Text:3. Find the plane that satisfies the following conditions:
(a) The plane that passes through the points (1, 0, 3), (0, 4, 2), and (1, 1, 1).
=
(b) The plane that passes through the point (1,0, 4) and has normal vector n
projz (ā), where a = (1, 0, 2) and 6 = (–1, 1, –1).
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