I have the South America hydro1k data for slopes and I am trying to extract the data using point sampling tool with a grid in Brazil's map. My problem is that, even though vector and raster seem to overlay -- and I have tried many CRS conversions in both the vector and the raster with no success -- when I use the point sampling tool, all the grids get the same value of band from the raster. It seems that the grid map corresponds to just one pixel in the raster. This probably has something to do with the projections, but I haven't been able to solve the problem. Here is the projection data for hydro1k raster
PROJCS["US National Atlas Equal Area",GEOGCS["Unspecified datum based upon the Clarke 1866 Authalic Sphere",DATUM["D_Sphere_Clarke_1866_Authalic",SPHEROID["Clarke_1866_Authalic_Sphere",6370997,0]],PRIMEM["Greenwich",0],UNIT["Degree",0.017453292519943295]],PROJECTION["Lambert_Azimuthal_Equal_Area"],PARAMETER["latitude_of_origin",-15],PARAMETER["central_meridian",-60],PARAMETER["false_easting",0],PARAMETER["false_northing",0],UNIT["Meter",1]]
and my Brazil's map is in SIRGAS 2000.
This is what happens when I have the raster in the original projection and Brazil vector in SIRGAS2000.I am posting Brazil's map without the grid just for illustration purposes.
And this is what happens when I reproject Brazil vector to the raster projection.

That is, Brazil vector is much smaller than south america raster.With the sampling tool, all the grid points have the same value for the band. Does anyone has any idea of how to fix this?