Creating a div with absolute position, relative to a certain div
===

I've tried different methods but come to no avail. 

I have:

    <div>
        <a id="" href="">Link 1</a> <a id="2" href="">Link 2</a> <a id="linkid" href="">Link 3</a>
    </div>
    <div id="dropdown_div" style="display:none;">
       Linkindiv
       Link2indiv
    </div>

Now when a user hovers over Link 3, I want a div to show up right underneath it positioned absolute with z-index higher than the other stuff on the page. 

Like

    Link1 link 2 link3
             [ linkindiv  ]
             [ link2indiv ]

Here is the jquery code I've been using to show and hide.

                var hide = false;
		        jQuery("#linkid").hover(function(){
		            if (hide) clearTimeout(hide);
		            jQuery("#dropdown_div").fadeIn();
		        }, function() {
		            hide = setTimeout(function() {jQuery("#dropdown_div").fadeOut("slow");}, 250);
		        });
		        jQuery("#dropdown_div").hover(function(){
		            if (hide) clearTimeout(hide);
		        }, function() {
		            hide = setTimeout(function() {jQuery("#dropdown_div").fadeOut("slow");}, 250);
		        });