To list the processes you're running in the current terminal, type "ps".
Figure out which processes from the list you want to kill and select the process IDs (PIDs).
wnguyen@europa:~$ ps
PID TTY TIME CMD
22452 pts/16 00:00:00 bash
18595 pts/16 00:00:00 vim
18596 pts/16 00:00:00 vim
20490 pts/16 00:00:00 pswnguyen@europa:~$ kill -9 18595 18596
That will kill off both vim processes. Type ps again to make sure they're dead.