Question 2 Is (u, v) = au₂v₁ + bu₂V₂ +bu₂V₂ + €₂V₂, where u = (₁, ₂) and v = (₁, ₂) are vectors in R², an inner product in the vector space R²? Show all details of your work.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 7E
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Question 2
Is (u, v) = au₂v₁ + bu₂v₂ + b₂v₁ + cu₂v₂, where u = (₁, ₂) and v = (₁, ₂) are vectors in
R², an inner product in the vector space R2? Show all details of your work.
Transcribed Image Text:Question 2 Is (u, v) = au₂v₁ + bu₂v₂ + b₂v₁ + cu₂v₂, where u = (₁, ₂) and v = (₁, ₂) are vectors in R², an inner product in the vector space R2? Show all details of your work.
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