Solved: Finding Inner Product, Length, and Distance In Exercises 1726, find (a) u, v
Chapter 5, Problem 24(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 \(R^{n}\).
\(\mathbf{u}=(1,1,1), \quad \mathbf{v}=(2,5,2)\),
\(\langle\mathbf{u}, \mathbf{v}\rangle=u_{1} v_{1}+2 u_{2} v_{2}+u_{3} v_{3}\)
Text Transcription:
langle u, v rangle
||u}||
||v||
d (u, v)
R^n
u = (1, 1, 1), v = (2, 5, 2)
langle u, v rangle = u_1 v_1 + 2 u_2 v_2 + u_3 v_3
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