K Determine whether the set of vectors is orthonormal. If the set is only orthogonal, normalize the vectors to produce an orthonormal set. 1 13 √170 1 HEHEHA = √340 √340 43 = √√2 1 √340 √170 13 13 √340 0 1 1 √√2 *** Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The set of vectors is orthogonal only. The normalized vectors for u,, u₂ and u are B. The set of vectors is orthonormal. OC. The set of vectors is not orthogonal. and respectively.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 16E
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K
Determine whether the set of vectors is orthonormal. If the set is only orthogonal, normalize the vectors to produce an orthonormal set.
u₁ =
√170
13
√340
13
√340
4₂=
-
13
√170
1
√340
1
√340
U₂ =
0
1
√2
1
√2
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The set of vectors is orthogonal only. The normalized vectors for u,, u₂ and us are
B. The set of vectors is orthonormal.
OC. The set of vectors is not orthogonal.
and
, respectively.
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 = √170 13 √340 13 √340 4₂= - 13 √170 1 √340 1 √340 U₂ = 0 1 √2 1 √2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The set of vectors is orthogonal only. The normalized vectors for u,, u₂ and us are B. The set of vectors is orthonormal. OC. The set of vectors is not orthogonal. and , respectively.
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