(a) A pair of signals si (t) and s k (t) have a common duration T. Show that the inner product of this pair of signals is given by below, where si and sk are the vector representations of si (t) and sk (t), respectively.

(b) As a follow up to part (a), show that

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| = ss s,lt)sz{t}dt | (s,tt) - sa(t)dt = || s; - s, || 2 | si - Sk %3D