Zipping directories under linux?

From: Gwen Morse (goldmooneachna_at_yahoo.com)
Date: 09/30/03 

Date: 29 Sep 2003 22:33:42 -0700

How do you use the "zip" program to zip directories and their
contents?

I tried:

zip -R <directory name> <filename.zip>

But, it didn't work. I can't make out what the syntax should be from
reading the man page.

Gwen