Solved: Finding Inner Product, Length, and Distance In Exercises 1726, find (a) u, v

Chapter 5, Problem 25

(choose chapter or problem)

Finding Inner Product, Length, and Distance In Exercises 17 - 26, find (a) \(\langle\mathbf{u}, \mathbf{v}\rangle\), (b) \(\|\mathbf{u}\|\), (c) \(\|\mathbf{v}\|\), and (d) \(d(\mathrm{u}, \mathrm{v})\) for the given inner product defined on \(R^{n}\).

\(\mathbf{u}=(-1,2,0,1), \quad \mathbf{v}=(0,1,2,2), \quad\langle\mathbf{u}, \mathbf{v}\rangle=\mathbf{u} \cdot \mathbf{v}\)

Text Transcription:

langle u, v rangle

||u}||

||v||

d (u, v)

R^n

u = (-1, 2, 0,1),     v = (0, 1, 2, 2),     langle u, v rangle = u cdot v

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