If I have a CSS solution for all browsers except IE then what should be chosen for IE?
or
or
Which will be less slow in rendering speed?
CSS expressions only work in Internet Explorer only, so you'll have to use Javascript in some form, for complex styles. Firefox, Safari and Chrome recognise a lot of CSS3 so if you're trying to do something like rounded corners or multiple backgrounds you could use that and look for an expression equivalent for IE.
However, I would recommend using jQuery. It's built to be cross-browser, and your code will likely end up simpler than using combinations of expressions/browser-specific styles.
jQuery plugin, if I'm already using jQuery.
I don't think I ever used CSS expression, not even as a hack.
As for a non-jQuery JavaScript library - I'd have to learn it from scratch, it might re-implement some of jQuery's features (so doesn't benefit from jQuery's engine, cross browser, etc), and it may not be written in the convenient style of jQuery, like chaining and liberal null checks.
Updated to new focus: If you've got it looking good in everything but IE (an all too common situation...) then you need some method of writing code that only IE sees/executes. You can do this with browser sniffing in JavaScript, conditional comments in CSS and HTML. IE CSS bugs (anyone else have some good links?)
(Old answer:)
CSS expressions: Internet Explorer only shortcut.
JavaScript: Have to code every stinking thing yourself. Works "cross browser", but you still need to test in all the browsers to make sure it's doing what you want.
jQuery: cross browser, easy, simple. :D
You should avoid CSS expressions.
As for JavaScript vs. jQuery, that depends. If I can do it in just a few lines of JS without cross-browser issues, and I'm not already using jQuery for other stuff, there's no reason to load the entire jQuery library. Anything much more complicated than a few document.getElementById or alert calls, though, and I'm likely to want jQuery available, and at that point I might as well be using jQuery plugins
There are ways of making IE 'compatible' with modern, css-stylized websites (such as the well-known comment <--[if lte IE 6]>...<[endif]--> (took the ! away, otherwise it works..) and so on.. but anyway, it's up to you.
The reason: CSS expressions can be evaluated many hundreds of times per second. Especially considering that IE is not the fastest horse in the race, don't do that to the poor old browser. The average IE CSS expression is evaluated over one thousand times in the time the person views the page.
What's more, it is just Javascript - it doesn't work if JS is off, creates the same garbage global variables, et al. So the gain is nill, the loss is high.
Do not include JQuery just for this. But if it (or Mootools etc.) is included, use them by all means.
Creating your function without JQ is simple and straightforward. Just have it run on page load and resize (http://www.devarticles.com/c/a/JavaScript/OnReset-OnResize-and-Other-JavaScript-Events/1/) and that should do the trick.
Use IE conditional comments and you are even valid.
<!--[if IE]>
<script>
var dumbIE = function (){
//your stuff
}
onload=onresize=dumbIE;
</script>
<![endif]-->
Although I strongly disrecommend using CSS expressions (is there really no "normal" CSS hack for the particular problem? doublecheck it, twice, if necessary ask question here), I would go ahead with it. This removes the risk that the your application breaks in case that the user has JS disabled. JS is at its best when used unobtrisively and in your case it is clearly not the solution.