An obnoxious vehicle, often a large truck or cheap sports car, driven by some men in an effort to compensate for something. Not all large trucks and cheap sports cars are penis extension vehicles (PEVs) - the key word is obnoxious, and how its driven is just as important as the vehicle itself. Signs of a PEV include: excessive loudness (and driving in a way to produce such loudness, such as peeling out), garish looking body or lift kits, artificial ballsacks, and Confederate flags. Usually driven by people under 23 or so, but can be driven by people of all ages.
Adam drives a Ford F350, but it's not loud and he drives it responsibly. It's not a penis extension vehicle.
Billy also drives a Ford F350, but it's had the mufflers removed, is lifted a foot, and he peels out every chance he gets. That's a penis extension vehicle.