An inner product (•, ·) on R³ under which the vectors 1 Vị = 1 1 , V2 = 2 satisfy (v1, v2) = 0 (i.e., are orthogonal).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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Give an example of the following, explaining why it has the required property or explain why no such example exists.

An inner product (•, ·) on R³ under which the vectors
1
Vị =
1
1
, V2 =
2
satisfy (v1, v2) = 0 (i.e., are orthogonal).
Transcribed Image Text:An inner product (•, ·) on R³ under which the vectors 1 Vị = 1 1 , V2 = 2 satisfy (v1, v2) = 0 (i.e., are orthogonal).
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