Problem 27. Suppose u, v e V. Prove that ||au + dv|| = ||du + av|| for all a, b eR if and only if ||u|| = ||v||.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 76E
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Problem 27. Suppose u, v E V. Prove that ||au + bv|| = ||bu + av|| for all
a, b ER if and only if ||u|| = ||v||.
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Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? % Cut A Find - Calibri (Body) - 11 - A A Aa Aal AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy ae Replace Paste B I U U - abe x, x² A ab A I Normal I No Spaci. Heading 1 Change . Heading 2 Title Subtitle Format Painter Styles - Select - Clipboard Font Paragraph Styles Editing • 2. 1:. I'8: 1 9 ' 10.L· 11: 1 ' 12.'13 · L 14: 1· 15.1A L'17:1 18 W I' 2: 1 : 3:1 • 4.I 5.1' 6.1'7 Problem 27. Suppose u, v E V. Prove that ||au + bv|| = ||bu + av|| for all a, b ER if and only if ||u|| = ||v||. Compress PDF ll 04:02 PM 2021-07-15 Page: 1 of 1 Words: 0 E EA E E E 100% - +
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