If the functions v and w are normalized and orthogonal, and if v and w are expanded in terms of the complete, orthonormal set {(i} as v = (i vi(i and w = (i wi(i (where the expansion coefficients vi and wi are constants), show that the column vectors v and w that consist of the expansion coefficients v1, v2, ( ( ( and w1, w2, ( ( ( , respectively, are normalized and orthogonal, as defined by (8.83) and (8.84).