In Exercises 11–15, determine whether the given orthogo- nal set of vectors is orthonormal. If it is not, normalize the vectors to form an orthonormal set. 2 11. 12. 3 1 2 3 13. 3 2 14.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In Exercises 11-15, determine whether the given orthogo-
nal set of vectors is orthonormal. If it is not, normalize the
vectors to form an orthonormal set.
11.
12.
3
3
2
3
13.
2
14.
3
2
V3/2
- V3/6
V3/6
- V3/6] [1/V2.
1/2
V6/3
1/V6
1/2
15.
-1/2
1/V2
1/2
H2 2
Transcribed Image Text:In Exercises 11-15, determine whether the given orthogo- nal set of vectors is orthonormal. If it is not, normalize the vectors to form an orthonormal set. 11. 12. 3 3 2 3 13. 2 14. 3 2 V3/2 - V3/6 V3/6 - V3/6] [1/V2. 1/2 V6/3 1/V6 1/2 15. -1/2 1/V2 1/2 H2 2
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