Here are a couple of useful tools for working with vector products. The first is an applet from Syracuse University that helps you visualize the cross product of two vectors in three dimensions, and the second is a handy little vector calculator that calculates cross products, dot products, and allows you to visualize the vectors.
Both applications have been added to the applet list on the right side of this page.
One other link of interest is this one from Yahoo! Answers that tells those of you too lazy to look it up how to calculate cross products on your TI-89: