Yes, the geminids originate from an asteroid rather than a comet.
This means that they tend to be slower, and the particles can sometimes be more robust, leading tofireballs.
As the name suggests, the radiant is in Gemini
This doesn't mean that you will see the meteors IN Gemini - but that they appear to be moving AWAY from Gemini.
Best place to see meteors is usually 30° - 45° away from the radiant, however, having said that, they do sometimes appear closer to the radiant than that, but when they do, they tend to be shorter.
Funnily enough - I think I may have spotted an early Geminid last night.
A Slow moving, fiery-orange colour, appeared from above Orion's belt, and moved down, fading out just below Rigel.
The Geminids radiant is near the star 'Castor', and if you look at the chart in the link below - trace an imaginary line from Rigel, back through Orion's belt - and it does point pretty much back to the Geminids radiant
http://www.eaas.co.uk/news/geminids.html