Question: QUESTION 1 Use the functions f(x) =3 and g(x) = 11x - 1 in C[-1, 1] to find d(f , g) for the inner product

 QUESTION 1 Use the functions f(x) =3 and g(x) = 11x- 1 in C[-1, 1] to find d(f , g) for theinner product (f. 8) = J foxcle (>dix. O ad(f . z)=0O b.d(f . g) = 12 Ocd(f. g) = 11 Odd(f .

QUESTION 1 Use the functions f(x) =3 and g(x) = 11x - 1 in C[-1, 1] to find d(f , g) for the inner product (f. 8) = J foxcle (>dix. O ad(f . z)=0 O b.d(f . g) = 12 Ocd(f. g) = 11 Odd(f . 8) = 3 O ed(f . g) =6 QUESTION 2 Use the inner product (4, B ) = 20 1 16 1 + d126 12 + a21621 + 2amb 12 to find (4. B), where A = 4, and B = ['s 2 ] O a. (A, B)=-30 O b. (4, B) = 30 O C. (A, B) = 57 O d. (4, B) =-42 O e. (A, B) = 42 QUESTION 3 Use the functions f(x) = x1$ and g(x) = x3 + 1 in C[-1, 1] to find for the inner product (f. 8> = J fox)g(x)dix. O a(f. 8)= 399 19 O b. (f. 8 ) = 180 OC ( f.8)= 20 133 Od. (f.8)= 3 40 De(f. 8)= 19 90QUESTION 4 Find a(u, v) for the standard inner product defined in R', where u = (0, 1, 9) and v = (4, -8, -6). O ad(u, v) = 2129 O b. d(u, v) = $101 O c d(u, v) =

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