Vector images use mathematical formulas of lines and curves to create shapes without using pixels, allowing them to stay smooth when zoomed in or out. Raster images are made up of pixels that become visible as jagged edges when zoomed in. Antialiasing reduces jagged edges by surrounding pixel borders with intermediate shades, making lines appear smoother. Image resolution, measured in DPI or PPI, determines image quality and file size, with higher resolution images having more pixels and better quality but larger file sizes. Common file formats for images include TIFF, JPEG, PNG, and GIF, each suited for different uses.