Visualizing a vector identity
- Joe DiNoto
This is a vector inequality from Michael Corral's text Vector Calculus. http://www.mecmath.net/ Problem 1.3.24 Prove | ||v|| - ||w|| | <= || v - w|| for all v and w.
1. When does equality hold? 2. Does equality always hold when v and w are on the same line? 3. What are the exact conditions on u and v for equality?