1 3. Consider vi V2 = and v3 = in R4. (a) Find the angle between vị and v2. (b) Find all vectors in R4 that are orthogonal to v1, v2 and v3. (c) Use Gram-Schmidt process to transform {v1, v2, v3} into a set of orthonormal [1] 2 E span {w1, w2, W3}, find the vectors {w1, w2, w3}. Given that u = value of a and write u as a linear combination of w1,w2 and w3.

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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solve only part C

1
3. Consider vi
V2 =
and v3 =
in R4.
(a) Find the angle between vị and v2.
(b) Find all vectors in R4 that are orthogonal to v1, v2 and v3.
(c) Use Gram-Schmidt process to transform {v1, v2, v3} into a set of orthonormal
[1]
2
E span {w1, w2, W3}, find the
vectors {w1, w2, w3}. Given that u =
value of a and write u as a linear combination of w1,w2 and w3.
Transcribed Image Text:1 3. Consider vi V2 = and v3 = in R4. (a) Find the angle between vị and v2. (b) Find all vectors in R4 that are orthogonal to v1, v2 and v3. (c) Use Gram-Schmidt process to transform {v1, v2, v3} into a set of orthonormal [1] 2 E span {w1, w2, W3}, find the vectors {w1, w2, w3}. Given that u = value of a and write u as a linear combination of w1,w2 and w3.
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