Induction heating works by a strong magnetic field that "induces" (causes) a electric current in metallic objects close to it. This current heats because of Joule effect, that's the same in normal heating coils. Induction hobs heat the stainless steel/cast iron pots/pans, not directly the hob itself or the food inside them
This technology maybe could be used to heat water in a SS tub washer, but is useless in dryers. Someone has tried to use microwaves instead of coils in dryers, but metallic zippers and buttons can cause sparkles and fires.
Induction motors - Some motors have a permanent magnet and some windings that behave as magnet when current passes through them. Magnetic repulsion between magnets generates the revolving movement. It's the case of drain pump motors.
You can feel it while rotating them by hand
Induction motors have further windings instead of permanent magnets. Anyway this link explains better than me