From here:
Yes, depending on the type of monitor you have. And you will likely be able to play games in high definition too. The Xbox 360 supports the following resolutions when using the VGA AV connector: 640×480, 848×480, 1024×768, 1280×720, 1280×768, 1280×1024, 1360×768, and 1920×1080. In order to use your monitor you will most likely need to purchase the Xbox 360 VGA HD Cable and connect it to your monitor’s VGA port. If you don’t have a free VGA port on your monitor, you will either need to switch back and forth or purchase a VGA switcher.
Support for 1920×1080 was added during the Fall Dashboard Update in October 2006. There are many reports of some incompatibilities with various nominally 1080p displays including the Dell 2405.
but you cannot plug the Xbox 360 into a laptop and use the screen. If you’re laptop has a video input, you can plug the composite cable from the Xbox 360 into it and view it, but it will not be in high definition making it likely worse than even a moderately sized standard television.
If you wish to read more you can click the attachment from above.
