Ah, DBZ Abridged. I found it a month or so ago, and it reminded me why I loved DBZ so much when I was first getting into anime (now currently rereading all my manga and rewatching the Saiyan Saga - I'm supposed to be working, damn you!). If you haven't seen it yet, go search google or other net-places; it's pure piss-take nostalgia, and the first fan-dub I have seen that I actually enjoyed.
So, in Abridged, Nappa comes back after his death to haunt Vegeta. And, since Vegeta tends to be enthusiastically (and violently) proactive about his problems, I reckon he would probably get Bulma to build him some kickass ghostbusting gear at the first opportunity and then hunt the sucker down
DBZ = Akira Toriyama
DBZ Abridged = Team Four Star