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Decomposing vectors For the following vectors u and v,express u as the sum u = p + n, where p is parallel to v and n is orthogonal to v. u = ⟨-2, 2⟩ , v = ⟨2, 1⟩

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 78E: Orthogonal Vectors In Exercises 77 and 78, let v=(v1,v2) be a vector in 2. Show that (v2,v1) is...

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Decomposing vectors For the following vectors u and v,express u as the sum u = p + n, where p is parallel to v and n is orthogonal to v.

u = ⟨-2, 2⟩ , v = ⟨2, 1⟩

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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