Drag is a better word than "resistance" because it has more meaning: the airplane drags air behind it. By reaction, the air exerts a force oposing to the airplanes movement.
induced drag is proportional to the wingtip vortex
Creating a vortex requires imparting energy to the air. That energy comes from the airplane. Induced drag is the force that creates the vortex, and there is no way to eliminate the vortex, but you can reduce it.