How do reusable launch vehicles achieve propulsive landing?

14 Eyl 13:45

I keep hearing about propulsive landings in the context of reusable launch vehicles. Could someone explain the basic principles behind it? Specifically, how the thrust vector control, timing of engine burns, and onboard guidance work together to bring a booster back safely to a landing pad or drone ship. Any diagrams or simple analogies are welcome. How does this differ from traditional parachute recoveries?