I really wanna play this game on the PC and not the 360 because the PC is just going to be way better. That being said I'm not sure if my Laptop can handle it. I just got it in June with a Duel Core T4200 2 GHz and an ATI Mobile Radeon HD 4330. From the recommendations on Steam I think it will be okay but I'm not exactly sure. If anyone is tech savvy enough to know whether I should be okay or not that'd be cool. I just dont want to buy the PC version if my computer is going to make the game run crapy, but I also would like to avoid playing it on the 360.

lol, stick with the 360 version.

  Dragon Age: Origins - System Requirements

Minimum (XP): Core 2 Duo with 1.4 GHz or Athlon 64 X2 with 1.8 GHz, 1024 MB RAM, Geforce 6600 GT or Radeon X850 with 128 MB, 20 GB disc space

Minimum (Vista): Core 2 duo with 1.6 GHz or Athlon 64 X2 with 2.2 GHz, 1536 MB RAM, Geforce 7600 GT or Radeon X1550 with 256 MB, 20 GB disc space

Recommended: Core 2 Quad with 2.4 GHz (or comparable AMD CPU), 2048 MB RAM (XP), 4096 MB RAM (Vista), Geforce 8800 GTS or Radeon HD 3850 with 512 MB
 
As monkey roach said 360 is the way to go if your on a laptop.
I prefer the mods and better graphics of the pc.
It looks like your laptop meets the req as long as you have enough ram so the game doesn't lag, though you may have longer load times.
Though i hear they can still be long on the 360.