Exercise 4. a) Let u and v be two vectors in R", with ||v|| = 1. Show that ||u+ v|| ||1|| if and only if u-v > [Hint: Use the relation between length and dot product.] b) Let u and v be two vectors in R", with ||u|| = ||v|| = 1. Call 0 € [0, =] the angle between u and v. (Recall the angle between u and V is the 0 € [0, =] such that cos 0 = What is the condition on 0 to have ||u + v|| 2 1.

Exercise 4. a) Let u and v be two vectors in R", with ||v|| = 1. Show that ||u+ v|| ||1|| if and only if u-v > [Hint: Use the relation between length and dot product.] b) Let u and v be two vectors in R", with ||u|| = ||v|| = 1. Call 0 € [0, =] the angle between u and v. (Recall the angle between u and V is the 0 € [0, =] such that cos 0 = What is the condition on 0 to have ||u + v|| 2 1.

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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