Let u₁5 2 4₂ -1 0 and u3 = 0. Note that u₁ and u₂ are orthogonal but that u3 is not orthogonal to u₁ or u₂. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁ and ₂. A nonzero vector in R³ that is orthogonal to u₁ and u₂ is v=
Let u₁5 2 4₂ -1 0 and u3 = 0. Note that u₁ and u₂ are orthogonal but that u3 is not orthogonal to u₁ or u₂. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁ and ₂. A nonzero vector in R³ that is orthogonal to u₁ and u₂ is v=
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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