Determine whether the set of vectors is orthonormal. If the set is only orthogonal, normalize the vectors to produce an orthonormal set. U₁ = 13 13 13 and U₂ = 1 10 0 1 9 10 O A. The set of vector is orthogonal only. The normalized vectors for u, and u₂ are and respectively. (Type exact answers, using radicals as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
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Question
K
Determine whether the set of vectors is orthonormal. If
the set is only orthogonal, normalize the vectors to
produce an orthonormal set.
U₁
1/3
1/3
1
3
and U₂ =
I
1
10
0
1
10
OA. The set of vector is orthogonal only. The
normalized vectors for u, and u₂ are
and
respectively.
(Type exact answers, using radicals
as needed.)
Transcribed Image Text:K Determine whether the set of vectors is orthonormal. If the set is only orthogonal, normalize the vectors to produce an orthonormal set. U₁ 1/3 1/3 1 3 and U₂ = I 1 10 0 1 10 OA. The set of vector is orthogonal only. The normalized vectors for u, and u₂ are and respectively. (Type exact answers, using radicals as needed.)
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