In Exercises 1 and 2, let f(x) = sin x and g(x) = sin x + cos

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In Exercises 1 and 2, let f(x) = sin x and g(x) = sin x + cos x in the vector space l [0, 2π] with the inner product defined by Example 7.5.
1. Compute
(a) f,g)
(b) ||f||
(c) d(f, g)
2. Find a nonzero vector orthogonal to f.
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