Solved: Finding and Graphing Orthogonal Projections in R2

Chapter 5, Problem 72

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Finding and Graphing Orthogonal Projections in \(R^{2}\) In Exercises 69 - 72, (a) find \(proj_{v} u\), (b) find \(proj_{u} v\), and (c) sketch a graph of both \(proj_{v} u\) and \(proj_{u} v\). Use the Euclidean inner product.

\(\mathbf{u}=(2,-2), \quad \mathbf{v}=(3,1)\)

Text Transcription:

R^2

proj_{v} u

proj_{u} v

u = (2, -2),     v = (3, 1)

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