Polarization analyzing powers for the elastic scattering of 3He from a polarized 3He target have been measured at three angles for laboratory energies between 8.9 and 34.8 MeV. This includes the 15 to 28 MeV excitation region of 6Be where a broad l = 3 resonance in the elastic scattering differential cross sections has been observed. There is qualitative agreement between these data and a recent resonating group calculation by Reichstein. Minor adjustments in the magnitude of the F wave splitting predicted by Reichstein give good fits to the data. We obtain splittings between about 5° and 1° at 25 MeV incident energy which predict analyzing powers in excess of .4 at certain angles.