6 6 Let u, = 3 , u2 = -6 , and u3 1. Note that u, and u, are orthogonal. It can be shown that uz is not in the subspace W spanned by u, and u2. Use this to construct a nonzero vector v in R that is orthogonal 6 to u, and u2. The nonzero vector v = is orthogonal to u, and u2.

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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6.
6
Let u, =
3 , u, = - 6
and uz =
Note that u, and u, are orthogonal. It can be shown that uz is not in the subspace W spanned by u, and u,. Use this to construct a nonzero vector v in R° that is orthogonal
-3
6
to u, and uz
The nonzero vector v =
is orthogonal to u, and uz.
Transcribed Image Text:6. 6 Let u, = 3 , u, = - 6 and uz = Note that u, and u, are orthogonal. It can be shown that uz is not in the subspace W spanned by u, and u,. Use this to construct a nonzero vector v in R° that is orthogonal -3 6 to u, and uz The nonzero vector v = is orthogonal to u, and uz.
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