Tensor and vector analyzing powers and cross sections have been measured for low-lying levels populated by the sup89Y(d,..cap alpha..) sup87Sr reaction at 9.0, 12.0, and 16.0 MeV. Angular distributions of dsigma/d..cap omega.., Asuby, Asubyy, Asubxx, and Asubxz have been analyzed using full finite-range distorted-wave Born approximation calculations including ..cap alpha..-particle D-state effects. It is shown that the sign and amplitude of two-nucleon spectroscopic amplitudes corresponding to different L and J transfers can be determined from the angular distributions of the tensor analyzing powers.