There are two kinds of plug-in electric vehicles, the plug-in hybrid and the all-electric or battery-electric vehicle. Regular hybrid vehicles, while having electric components in the drive train, are not plug-in electric vehicles. The difference between them is primarily in how far you are willing to go to divorce yourself from gasoline. The plug-in hybrid (or PHEV) still relies on gasoline, and uses gasoline to implement long range driving, while the all-electric vehicle uses no gasoline, and therefore relies on fast charging for long range.
An electric vehicle is powered by electricity. Somehow that simple fact does not answer the confusion over what electric vehicles are. Some think that because a hybrid car (e.g. Toyota Prius) has an electric motor, it is electric, when it is not. After 100+ years of all vehicles being powered by gasoline or diesel, we all need to wrap our heads around the fact that the energy for our vehicles can come from other sources.
It's not like you can just buy an electric vehicle at any old dealership, is it? Regular car dealerships do carry electric cars, and it is possible to just go to a dealership plunk down money and drive away in an EV. This was not always the case, as there were many years those of us wanting an electric car had to build our own. Buying an electric bicycle or electric motorcycle is a little trickier since they are not so widely distributed.
Introductory Questions about electric cars, electric motorcycles, electric trucks, etc