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Verify all vector space axioms and determine, if the set of all triples of realnumbers (?,?,?) is a vector space under the given operations(?,?,?) + (?′,?′,?′) = (? + ?′,? + ?′,? + ?′)and?(?,?,?) = (0,0,0)

Verify all vector space axioms and determine, if the set of all triples of realnumbers (?,?,?) is a vector space under the given operations(?,?,?) + (?′,?′,?′) = (? + ?′,? + ?′,? + ?′)and?(?,?,?) = (0,0,0)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
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Verify all vector space axioms and determine, if the set of all triples of real
numbers (?,?,?) is a vector space under the given operations
(?,?,?) + (?′,?′,?′) = (? + ?′,? + ?′,? + ?′)
and
?(?,?,?) = (0,0,0)

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