Yes you can
You connect it to the computer using a modem, wirelessly.
hotspots
hotspot
You can connect your device to internet network wirelessly.
you can most likely do this but not with the usb lead you connect wirelessly
Use bluetooth to connect them. Both are bluetooth ready.
That depends on where you are, but is not an ethical thing to do.
The PS3 WiFi is to connect the PS3 to the internet and not to another WiFi device
Yes, you can.
That it can connect to the Internet wirelessly, like a laptop
If you connect your ps vita to your router wirelessly then it is free