Since Vector is a Slack copy, iirc, this should work. Do both for the heck of it.
First, start in runlevel 3. At your LiLO prompt, rather than just hitting enter, use the tab to choose your image name and then add a space and then init 3 -- for example:
Code:
boot: Vector init 3
then after you login type "xwmconfig" and choose Fluxbox. After that you can type "startx" to see if Fluxbox starts with the X server. Then just reboot as normal and let it boot into runlevel 4. This time from the login menu make sure you choose Fluxbox, and it should default there on your next reboot.
If this doesn't work, then something in Vector is broken, or either different, than Slackware IMO.