A set W is defined as consisting of all the planes in R^3 that are parallel to the plane x+2y-3z=1. If two elements of W are added to one another, is the result still in W? Why or why not? (PleaE give detailed explanation)
A set W is defined as consisting of all the planes in R^3 that are parallel to the plane x+2y-3z=1. If two elements of W are added to one another, is the result still in W? Why or why not? (PleaE give detailed explanation)
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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A set W is defined as consisting of all the planes in R^3 that are parallel to the plane x+2y-3z=1. If two elements of W are added to one another, is the result still in W? Why or why not? (PleaE give detailed explanation)
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