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Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 12EQ
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Find (u, v), ||u||, |v||, and d(u, v) for the given inner product defined on R.
u = (0, 1, 3),
V =
= (3, 0, 1), (u, v) = = U. V
(a) (u, v)
(b) ||u||
(c) ||v||
(d) d(u, v)
Transcribed Image Text:Find (u, v), ||u||, |v||, and d(u, v) for the given inner product defined on R. u = (0, 1, 3), V = = (3, 0, 1), (u, v) = = U. V (a) (u, v) (b) ||u|| (c) ||v|| (d) d(u, v)
Find all values of a so that u and v are orthogonal. (Enter your answers as a comma-separated list.)
-1
5
a
U=
V =
·L
-2
a =
a
4
Transcribed Image Text:Find all values of a so that u and v are orthogonal. (Enter your answers as a comma-separated list.) -1 5 a U= V = ·L -2 a = a 4
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