Let B := (b₁,b2, b3) be an orthonormal basis of R³ such that b3 = √/2 * Let V = 0 and let C₁, C2, C3 be scalars such that v = = c₁b₁ + c₂b2 + c3b3. What is c3? Round your submission (as needed) to four digits after the decimal. Remember: = 0.707106.. 3 √₂ C3 = 2 √2 = : 1.414213..., number (2 digits after decimal) ? = : 2.12132...
Let B := (b₁,b2, b3) be an orthonormal basis of R³ such that b3 = √/2 * Let V = 0 and let C₁, C2, C3 be scalars such that v = = c₁b₁ + c₂b2 + c3b3. What is c3? Round your submission (as needed) to four digits after the decimal. Remember: = 0.707106.. 3 √₂ C3 = 2 √2 = : 1.414213..., number (2 digits after decimal) ? = : 2.12132...
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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![Let B := (b₁,b2, b3) be an orthonormal basis of R³ such that
1
b3 = // 2
1
Let
--0
V =
and let C₁, C2, C3 be scalars such that v = c₁b₁ + c₂b2 + c3b3.
What is c3? Round your submission (as needed) to four digits after the decimal.
2
0.707106...,
1.414213...,
√2
Remember:
0
C3 =
√2
=
number (2 digits after decimal)
3
√2
?
-
= 2.12132...](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65afa8bc-e5b6-45e3-873b-2d32c71e5965%2F89203459-3874-462d-bd90-6a63696eeb89%2F72rzowx_processed.png&w=3840&q=75)
Transcribed Image Text:Let B := (b₁,b2, b3) be an orthonormal basis of R³ such that
1
b3 = // 2
1
Let
--0
V =
and let C₁, C2, C3 be scalars such that v = c₁b₁ + c₂b2 + c3b3.
What is c3? Round your submission (as needed) to four digits after the decimal.
2
0.707106...,
1.414213...,
√2
Remember:
0
C3 =
√2
=
number (2 digits after decimal)
3
√2
?
-
= 2.12132...
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