Consider the following vectors: 14 --0--0-0-0 2 W3 13 2 = 1 Enter the vector [v]g in the form [c₁, C2, C3]: 2 = = 1 6 -2 = 3 The set B = {W₁, W2, W3} is an orthogonal basis of R³. Use the dot product to compute the vector [v] of coordinates of v relative to the basis B.
Consider the following vectors: 14 --0--0-0-0 2 W3 13 2 = 1 Enter the vector [v]g in the form [c₁, C2, C3]: 2 = = 1 6 -2 = 3 The set B = {W₁, W2, W3} is an orthogonal basis of R³. Use the dot product to compute the vector [v] of coordinates of v relative to the basis B.
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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![Consider the following vectors:
14
----0---0
2
W3 = 6 V = 3
13
W1 =
=
Enter the vector [v] in the form [c₁, C2, C3]:
B
2
-3
-5
The set B = {W1, W2, W3} is an orthogonal basis of R³. Use the dot product to compute the vector [v] of coordinates of v relative to the
basis B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb493ecdd-cbdc-400d-a05a-de2010eb2d52%2Fe8aecd0f-7d31-4b15-b6a0-7a8bfc5175af%2Fbil9v1u_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following vectors:
14
----0---0
2
W3 = 6 V = 3
13
W1 =
=
Enter the vector [v] in the form [c₁, C2, C3]:
B
2
-3
-5
The set B = {W1, W2, W3} is an orthogonal basis of R³. Use the dot product to compute the vector [v] of coordinates of v relative to the
basis B.
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