3. Consider the following 2 vectors in R³: V1 = V2 = (a) Check that the vectors are orthogonal. (b) Find the normalized vectors v1, v2. (c) find a third vector v3, so that v1, V2, V3 is an orthonormal set of vectors.

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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3. Consider the following 2 vectors in R3:
1
1
Vi =
2
V2
1
(a) Check that the vectors are orthogonal.
(b) Find the normalized vectors v1, v2.
(c)
find a third vector v3, so that v1, V2, V3
is an orthonormal set of vectors.
Transcribed Image Text:3. Consider the following 2 vectors in R3: 1 1 Vi = 2 V2 1 (a) Check that the vectors are orthogonal. (b) Find the normalized vectors v1, v2. (c) find a third vector v3, so that v1, V2, V3 is an orthonormal set of vectors.
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