Oh what the heck, I put his other videos on the Superfreak page, this one is even better.
The blonde in the 1999 video is Jill Jones. Prince had a habit of producing records for his proteges and giving away songs, he was actually very generous that way. Among other things, he wrote the Bangles' Manic Monday. This video has a very 1950s Italian feel.
This one is kind of a joke and an experiment in just how cheap you can build a guitar. The body is dry-erase board over plywood - no finish - with Tolex side binding. Dry-erase board is Masonite covered with Melamine. The neck is 100% Radiata pine, even the fretboard. The "inlays" are glitter and CA glue. The pickguard is the other side of the dry-erase board - 'chalkboard'. The pickup mount is a 57 cent switch plate.
An electric guitar body serves several purposes. It provides a place to attach (and hide) hardware and electronics, and provides a counterweight for the neck, specifically the tuners out there at the end. It also provides enough weight and bulk to stabilize the instrument while it is played, either sitting or standing, while at the same time being not too heavy or interfering with natural playing motions and access to the strings. And needless to say, it must be strong enough to resist the effects of string tension, which can be 100-200 pounds or more.