Let V₁ = Let x = X √3 √3 1 √3 , V2 = 3 - 27/35 + 1/60 √6 Note that B = {V₁, V2, V3} is an orthonormal basis for R³. 2 6) 3 . Use dot products to compute the coordinate vector [x]. 2 3 75-767/2 √6 1 √6 -73/35 - 36 + 27/1/2 √3 √2 and V3 = √2 1 √2
Let V₁ = Let x = X √3 √3 1 √3 , V2 = 3 - 27/35 + 1/60 √6 Note that B = {V₁, V2, V3} is an orthonormal basis for R³. 2 6) 3 . Use dot products to compute the coordinate vector [x]. 2 3 75-767/2 √6 1 √6 -73/35 - 36 + 27/1/2 √3 √2 and V3 = √2 1 √2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Let V₁ =
Note that B
Let x =
X
T
T
√3
1
√3
√3
1
√3
2
√3
-
6
7/3 + $0
√3
V2 =
()
3 . Use dot products to compute the coordinate vector [x].
36-7/22
3
√6
{V1, V2, V3} is an orthonormal basis for R³.
√6
1
+
√6
1
√6
2
and v3 =
0
1
√2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cf73431-844e-4c23-9b17-47dbe521c237%2F08404cf5-bae2-4b46-8115-4f6899e0909c%2Fx4o0fgg_processed.png&w=3840&q=75)
Transcribed Image Text:Let V₁ =
Note that B
Let x =
X
T
T
√3
1
√3
√3
1
√3
2
√3
-
6
7/3 + $0
√3
V2 =
()
3 . Use dot products to compute the coordinate vector [x].
36-7/22
3
√6
{V1, V2, V3} is an orthonormal basis for R³.
√6
1
+
√6
1
√6
2
and v3 =
0
1
√2
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