Let V₁ = Let x = √3 √3 1 √3 2 √3 , V₂ = -1/²/3 + √6 2 -73-316 Note that B = {V₁, V2, V3} is an orthonormal basis for R³. ( 3 Use dot products to compute the coordinate vector [x]. 3 √6 + 2 2 √6 2 름 √6 1 √6 and v3 = 0 1 √2
Let V₁ = Let x = √3 √3 1 √3 2 √3 , V₂ = -1/²/3 + √6 2 -73-316 Note that B = {V₁, V2, V3} is an orthonormal basis for R³. ( 3 Use dot products to compute the coordinate vector [x]. 3 √6 + 2 2 √6 2 름 √6 1 √6 and v3 = 0 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
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Question
100%
![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%2Ff6f5cd70-6ee4-4c4f-8ccb-4ed20c98a46f%2Fw0b4iw_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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