Consider the inner product space (P2, (, )) with (p, q) = p(to)q(to) + p(t1)q(t1) + p(t2)q(t,), where p, q E P2 and to, t1, t2 are distinct real mumbers. Let to = -2, ti = 1, t2 = 2 and p(t) = 1 + t, q(t) = -4t + t². %3D %3D (i) Determine if p(t) is orthogonal to q(t).

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