if you're connecting to other people's network. no you don't
Yes.
Buying a wireless card depends on if your wanting to use the laptop while not near the desktop. You can buy network cables to connect the two computers as well.
First, you need to have a wireless router. Second, install an airport card to the laptop.
You buy a wireless router, wire the desktop and router to the modem, and use the laptop by getting a wireless card or usb wireless adapter.
No. You can not attach a router and use a standard Verizon Wireless aircard as a wireless access point. This is why they have MiFi which is essentially a wireless access point.
If you wish to use the wireless network card built into your laptop, then yes, you would need a wireless router. Many ISP's provide you with a modem that also acts as a wireless router for your internet service. But if yours doesn't then you would need a wireless router in order to connect without cabling. But if you don't mind running a length of ethernet cable from your modem to your laptop, then you wouldn't need a router.
You need a wireless router capable of working with your wireless card.
When you say "connect it to the wall jack", you have DSL connection or cable connection? Does cable connection allow the use use of a wireless router and card
Try moving the router or getting a better wireless card for your laptop or computer.
A wireless card for laptops is used to enable the laptop to connect to a wireless network. A wireless router is used to keep track of the whereabouts of devices connected to the network. It is part of the network. This is a very basic answer but I think it should be enough to answer your question.
The same as with wireless G card and G router.
First, plug them via ethernet cord. then, your laptop with vista should act as a wireless router (with the right settings). networking controller enabled. and allow access to xbox. this is all only if you have a built in wireless card/router