When two waves of different amplitudes superpose at a point, they interfere but leave the point unharmed, maintaining their original amplitudes after the interaction. The principle of superposition ensures that each wave continues to exist independently, unaffected by the presence of the other. This phenomenon is rooted in the mathematical equations governing wave behavior, which dictate that the waves combine without altering their individual characteristics. The discussion emphasizes that even if one wave has zero amplitude, it does not negate the existence of the other wave post-interference. Ultimately, the concept of superposition is key to understanding this behavior in wave dynamics.