The angle between two nonzero elements i> and w of an inner product space is defined
Chapter 5, Problem 11(choose chapter or problem)
The angle between two nonzero elements i> and w of an inner product space is defined as(f, w) Av. w) = arccos............. II i'll INII In the space C[n, n | with inner product(fI rn \g) = - \ * J-,f(t )g(t)dt.find the angle between fit) = cos(/) and git) = cos(/ + 6), where 0 < & < t z. Hint: Use the formula cos(/ + <5) = cos(/) cos(<5) sin(/) sin(<5).
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