Windows 7 - PC & XBox 360 with 1 LCD Monitor at same time?

Hi, I have a Samsung 933BW Plus LCD Monitor which has 2 Display Ports on the back of it (VGA & DVI). My PC is connected with DVI Cable and the VGA port is free and i was wondering if i could connect my sister's XBox 360 through 360's First-Party VGA Cable on the VGA Port at the same time without unplugging the DVI Cable which is connecting PC? Coz there's a button on my LCD which switch mode between Analog and Digital signal when pressed?

Yes, my TV has my old PC, my Xbox 360, and DVD player hooked up to it, so it's most certainly possible. But I don't think an Xbox has a adapter for VGA.

about this VGA Cable

Xbox 360 Live VGA AV Cable: Amazon.co.uk: PC & Video Games

You can do it with out issue, just be aware you won't get any sound unless you have a separate input for audio (meaning the monitor has built-in speakers). That's typically the reason people don't use a monitor (as opposed to a TV) with their game consoles.

I will use my Audio System through Aux that would'nt be a problem i hope.