oh hi well i had the same problem,so i don't know if your computer is the same but go to the START menu in the left bottom corner,then CONTROL PANEL, then go to REGIONAL & LANGUAGE OPTIONS,then click the 2nd tab which says LANGUAGES,in the first box,click the DETAILS button,then there will be an ADD button on the side, click it,and under INPUT LANGAUGE,find the language you want & also under KEYBOARD LAYOUT/IME,in your case you look for korean.click OK,then a button should pop up on the botton right side of your computer along w/ the other icons,it'll probably have KO on it, once you click it,you can type it,but i recommend you also add the ENGLISH button cause if you want to go back to typing in english you can just click that button & to add english it'll be the same steps just find english under INPUT LANGUAGES & KEYBOARD LAYOUT/IME.hope i really helped,srry if i left a step out[cnt really remember right now],jus hope it works!XD
*OHH WAIT ONE MORE STEP[FORGOT]....uhhh right after you click DETAILS,in the first box it'll say DEFAULT INPUT LANGUAGE,find KOREAN INPUT SYSTEM(MS-IME 2002)..that what allows you type in korean,&& do the rest of the following steps i told u.&& to check if works in INSTALLED SERVICES box it should be like:
KO-korean
KEYBOARD-
-korean input language system(MS-IME 20020
well i made the steps really detailed jus hope they helped.XD
-sunmi.8D