Satellite radar interferometry (SRI) provides an important new tool for determining ice-flow velocity, Interferometric measurements made from a single-track direction are sensitive only to a single component of the three-component velocity vector, Observations from along three different track directions would allow the full velocity vector to be determined, A north/south-looking synthetic aperture radar (SAR) could provide these observations over large portions of the globe, but not over large areas of the polar ice sheets, We develop and demonstrate a technique that allows the three-component velocity vector to be estimated from data acquired along two track directions (ascending and descending) under a surface-parallel how assumption, This technique requires that we have accurate estimates of the surface slope, which we also determined interferometrically, To demonstrate the technique, we estimate the three-component velocity field for the Ryder Glacier, Greenland, Our results are promising, although we do not have yet ground-truth data with which to determine the accuracy of our estimates.