Re: HDMI cable versions
What your seeing is a difference in dedicated video ports on your television. Televisions resolution vary a lot by what they are capable of and what you plug into them.
For instance, blu-ray dvd player is capable of 1080x(i/p), but your television is only capable of 720p. If you try and 'up convert' the television compensates for the lack of detail by adding more lines to the picture per refresh rate.
So, in your case, you could be seeing a lower resolution on a high definition screen.
So what's the difference in the cables? Well, there are several versions of the same cable, like you said, 1.0, 1.2 or 1.3a. In your case you have a dual link cable on a 1.2 port. 1.3a/b is 340 MHz which allows for a higher resolution (2560x1600).
Check your television for the resolutions it's capable of and the graphics card settings, you have an 8800 in your laptop? So if the nvidia settings aren't selected to see resolutions only a television can, you may run into some problems. Also, keep in mind that not all of the televisions are going to be the best monitors.