We report a study of the magnetization density in the mixed state of the un
conventional superconductor Sr2RUO4. On entering the superconducting state
we find no change in the magnitude or distribution of the induced moment fo
r a magnetic field of 1 T applied within the RuO2 planes. Our results are c
onsistent with a spin-triplet Cooper pairing with spins, lying in the basal
plane. This is in contrast with similar experiments performed on conventio
nal and high-T-c superconductors.