The bar you are talking about is the breadcrumbs.
To remove it, look at your toolbar which should more or less look like this:

Then, click that button that is on the very far right. It looks like a little C with a green circle, a black triangle, and some small blue thing in the back. Find that button on your eclipse toolbar and click it to show/hide breadcrumbs.
If you don’t see it, let me know, and I can try to figure out which toolbar it is a part of.