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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 5EQ: For each of the following pairs of points, draw the vector AB. Then compute and redraw AB as a...
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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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