Consider the following vectors: 2 11 Wi = W2 = -7 W3 = 3 v = 8 The set B = {w1,W2, W3} is an orthogonal basis of R. Use the dot product to compute the vector vR of coordinates of v relative to the basis B. Enter the vector [v]g in the form [c1, c2, C3]: IB
Consider the following vectors: 2 11 Wi = W2 = -7 W3 = 3 v = 8 The set B = {w1,W2, W3} is an orthogonal basis of R. Use the dot product to compute the vector vR of coordinates of v relative to the basis B. Enter the vector [v]g in the form [c1, c2, C3]: IB
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Consider the following vectors:
2
11
-5
Wi =
W2 =
-7
W3 =
3
v =
4
8
4
The set B = {w1,w2, W3 } is an orthogonal basis of R°. Use the dot product to compute the vector vR of coordinates of v relative to the basis B.
Enter the vector vR in the form [c1, c2,
C3]:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb493ecdd-cbdc-400d-a05a-de2010eb2d52%2F6d7ee8d0-095c-4896-b5f8-f6fdd0131cef%2Figoz6s_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following vectors:
2
11
-5
Wi =
W2 =
-7
W3 =
3
v =
4
8
4
The set B = {w1,w2, W3 } is an orthogonal basis of R°. Use the dot product to compute the vector vR of coordinates of v relative to the basis B.
Enter the vector vR in the form [c1, c2,
C3]:
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