5. Show that the function that sends an ordered pair ((x1, x2, x3), (Y1, Y2, Y3)) of elements in R³ to x1 y1 + x33 does not define an inner product on R³.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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5. Show that the function that sends an ordered pair ((x1, x2, x3), (Y1, Y2, Y3)) of elements
in R³ to x1 y1 + x33 does not define an inner product on R³.
Transcribed Image Text:5. Show that the function that sends an ordered pair ((x1, x2, x3), (Y1, Y2, Y3)) of elements in R³ to x1 y1 + x33 does not define an inner product on R³.
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