I'm not sure from your post whether you are using Vectorlinux light or Vectorlinux Standard? Also, is your connection wireless or wired? Considering the age of the machine I'm guessing you have a wired internet connection.
Some things you can try.
1. From the Vasm Control Center Choose ''Network' then 'Netconf', then just click through the prompts. When done try your connection again.
2. Enter into a terminal emulator. Type 'su' (without the quotes) then your root password. Then type 'ifconfig' and press enter.
Post the resulting output here.
3. See if you can ping google. Again in the terminal emulator but not as root, type 'ping www.google.com
' (no quotes).
Let us know the response you get. If the ping responses just keep coming use ctrl+c to cancel out of the command, or close the terminal.
That's all I've got for now.