@Rubar Yes that's basically it. You could also say "the crop camera will create an image that's a cutout of the full frame image." If I mount a lens in one spot and shoot with a full frame camera I'll get one image. With a crop sensor I'll get a different image. However, if I were to print the full sensor image I could make the same picture as the crop camera shot simply by cutting all four sides of the image the appropriate amount.

That's slightly different than zoom but for your purposes it's a close enough explanation.