申論題

5.(10%)下面的問題共有二個子題,只要寫出每個子題的答案即可(不需寫出計算過程),例如: (a)θ=30或θ=π/6。
Consider the inner product space C[0, 1] with (f, g) := f(x)g(x)dc and the nomm . Denote S := span (1, x} as a subspace of C[0, 1].

(a) (4%) Compute the angle θ, taken value in [0, π /2), between 1 and x.