The resolution is a characteristic of the video file. In Windows, you can check the resolution of the video by clicking with the right mouse button in the video file, select "Properties", then "Details". There you have two properties, width and height. If the width is 1280 and the height 720, then the resolution is 1280X720.
Basically, these numbers represent the amount of pixels, or colored points you see in the screen. In 1280X720, there are 1280 pixels in the width and 720 in the height. The more pixels, the better the resolution.
The ability to support these resolutions is specific of your monitor/TV.