  The tensor product of vector and arbitrary representations of the nonstandard
q-deformation U'_q(so(n)) of the universal enveloping algebra U(so(n)) of Lie
algebra so(n) is defined. The Clebsch-Gordan coefficients of tensor product of
vector and arbitrary classical or nonclassical type representations of
q-algebra U'_q(so(n)) are found in an explicit form. The Wigner-Eckart theorem
for vector operators is proved.
