Show that |a + b| ≤ |a| + |b|

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.4P: Show (a) (AB)t = BtAt (b) (AB)−1 = B−1 A−1
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Let a = i − 2j + k and b = 2i + j + k. Show that
|a + b| ≤ |a| + |b|

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