Let V be the set of all ordered pairs of real numbers (x1, u) with u > 0. Consider the following addition and scalar multiplication operations on u = (41, u2) and v= (v1, v2): %3D 3( 7+ 2+ v2). ku = (kzq, kus) u+v = Using the above operations, if the set V satisfies Axiom 4 of a vector space (the existence of a zero vector), what would be the zero vector? Enter the components of the zero vector (in order) into the answer box below, separated with a comma. e.g., 142,322

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let V be the set of all ordered pairs of real numbers (x1, u) with u > 0. Consider the following addition and
scalar multiplication operations on u = (41, u2) and v= (v1, v2):
%3D
u+v =
Using the above operations, if the set V satisfies Axiom 4 of a vector space (the existence of a zero vector), what
would be the zero vector?
Enter the components of the zero vector (in order) into the answer box below, separated with a comma. e.g.,
142,322
Transcribed Image Text:Let V be the set of all ordered pairs of real numbers (x1, u) with u > 0. Consider the following addition and scalar multiplication operations on u = (41, u2) and v= (v1, v2): %3D u+v = Using the above operations, if the set V satisfies Axiom 4 of a vector space (the existence of a zero vector), what would be the zero vector? Enter the components of the zero vector (in order) into the answer box below, separated with a comma. e.g., 142,322
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