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52. Under what conditions are the following true for vectors u and v in R² or R³? (a) ||u+v|| = ||u|| + |v|| (b) ||u+v|| = ||u||- ||v||

52. Under what conditions are the following true for vectors u and v in R² or R³? (a) ||u+v|| = ||u|| + |v|| (b) ||u+v|| = ||u||- ||v||

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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52. Under what conditions are the following true for vectors u and v in R² or R³? (a) ||u+v|| = ||u|| + |v|| (b) ||u+v|| = ||u||- ||v||
Transcribed Image Text:52. Under what conditions are the following true for vectors u and v in R² or R³? (a) ||u+v|| = ||u|| + |v|| (b) ||u+v|| = ||u||- ||v||
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