I've browsed the web as supposed to and discovered four discrepancies.
I've checked that the referred file domWindows.js indeed is where the options point to.
I've referred to the jQuery-file that I'm using through the options but it didn't produce any changes.
All in all I get the error message saying that:
"intellisense was unable to determine an accurate completion list for this expression, The provided list contains all identifiers in the file"
Kudos to CraigTP
select Implicit (Web)
you can find "~/Scripts/_references.js" (if you want to put it in different place, change it here)
go to ~/Scripts and add new item "_references.js"
/// <reference path="path\jquery-1.7.1.js" /> in "_references.js"
/// <reference path="~\root\path\jquery-1.7.1.js" />
Remember to put jquery-1.7.1-vsdoc.js in the same folder with jquery-1.7.1.js
After making above mentioned changes, if it is still not working try restarting visual studio.