Linear Algebra Done Right · Problem 6A.21

Inner Product Spaces — Sheldon Axler

Mathematics — Linear Algebra · inner-products-and-norms

Problem

Suppose u,v∈Vu, v \in V are such that ∥u∥=3,∥u+v∥=4,∥u−v∥=6.\|u\| = 3, \quad \|u + v\| = 4, \quad \|u - v\| = 6. What number does ∥v∥\|v\| equal?

Related theory

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