Vector Linux runs on Intel and compatible processors, including your AMD. The only reason you may not want to run the just released Vector Linux 6.0 is that it's a 32-bit operating system and if you have a dual core AMD it is almost certainly 64-bit. VL64 6.0, the native 64-bit version of Vector Linux, is still in alpha though some people are running it with success. The package/software selection in the 64-bit repository is more limited than the main repository.
Yes, you can run a 32-bit OS on a 64-bit machine and it will work just fine but it won't take full advantage of your processing power. This won't be noticeable for day to day tasks like surfing the web, exchanging e-mails, or even watching a YouTube video. Where you will notice it is in tasks that stress your system to the limits: real time video processing, 3D modeling, anything with heavy duty mathematical computation, and some high end games all suffer if you run a 32-bit OS. So... whether or not Vector Linux will be satisfactory for you really depends on how you use your computer.