spot lights are used for lightining ahead, or a spot in the direction they face.
"Driving lamp" is a term deriving from the early days of nighttime driving, when it was relatively rare to encounter an opposing vehicle.[citation needed] Only on those occasions when opposing drivers passed each other would the dipped or "passing" beam be used. The full beam was therefore known as the "driving beam"
fog lights use a different lense pattern which changes how the light is output, designed for use in fog / low visability.
Front fog lamps provide a wide, bar-shaped beam of light with a sharp cutoff at the top, and are generally aimed and mounted low .[11][12] They may produce white or selective yellow light, and are intended for use at low speed to increase the illumination directed towards the road surface and verges in conditions of poor visibility due to rain, fog, dust or snow. They are sometimes used in place of dipped-beam headlamps, reducing the glareback from fog or falling snow, although the legality varies by jurisdiction of using front fog lamps without low beam headlamps.