Use the inner product (f, 9) = | f(x)g(x) dr %3D in the vector space CU[0, 1] of continuous functions on the domain [0, 1] to find (f, g). || f ||, ||g||, and the angle afg between f(r) and g(x) for f(r) = 10z2 6 and g(x) = -3x – 8. (f,9) = ||f|| = Il9|| af,g

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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9
Use the inner product
(f, 9) = | f(x)g(x) dr
%3D
in the vector space CU[0, 1] of continuous functions on the domain [0, 1] to find (f, g), || f ||, ||g||, and the angle a fg between f(x) and g(x) for
f(r) = 10z?
6 and g(x) = -3x – 8.
(f,9) =
Ilg||
af,g
Transcribed Image Text:Use the inner product (f, 9) = | f(x)g(x) dr %3D in the vector space CU[0, 1] of continuous functions on the domain [0, 1] to find (f, g), || f ||, ||g||, and the angle a fg between f(x) and g(x) for f(r) = 10z? 6 and g(x) = -3x – 8. (f,9) = Ilg|| af,g
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