Visualizing a vector identity
- Author:
- Joe DiNoto
- Topic:
- Calculus, Inequalities, Vectors
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?