To identify the houses affected by pollution within 500 meters of the stream, two GIS vector operations are required:
1. Buffer: Create a 500 m buffer around the stream (line feature) to represent the impact zone of pollution.
2. Overlay: Perform an overlay (such as intersection) of the buffer zone with the polygons representing houses to extract only those houses that fall within the buffer area.
Hence, the correct combination of operations is Buffer and Overlay.