I have never used Vector but installing a bittorrent client shouldn't be any different to any other distro.
Have you chosen what client you want to use? (Bittorrent, foxtorrent, Azureus etc)
Vector being based on Slackware then bittornado may be a good choice.
http://packages.slackware.it/search....1&q=bittornado
There are full instructions available online but if you struggle then post again...