For each of the following sets of vectors, determine whether or not the set is orthogonal. If the set is orthogonal, normalize it to obtain an orthonormal set. If the set is not orthogonal, show this by giving the dot product of an appropriate pair of vectors, then build an orthonormal set i. the fashin a. u= 3 1 V= 5 W= b. u= V= 26 W = 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For each of the following sets of vectors, determine whether or not the set is orthogonal. If
the set is orthogonal, normalize it to obtain an orthonormal set. If the set is not orthogonal,
show this by giving the dot product of an appropriate pair of vectors, then build an
orthonormal set i. the fashin
---0-0-0-0-0-0
b. u=
a. u=
V=
W=
10
1
26
V=
-28
, W=
Transcribed Image Text:For each of the following sets of vectors, determine whether or not the set is orthogonal. If the set is orthogonal, normalize it to obtain an orthonormal set. If the set is not orthogonal, show this by giving the dot product of an appropriate pair of vectors, then build an orthonormal set i. the fashin ---0-0-0-0-0-0 b. u= a. u= V= W= 10 1 26 V= -28 , W=
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