Let me first apologize for the lightness of the images in the manuals, some of which are almost invisible! But the code works and will show you what was supposed to be there.
If you're using the multivariable manual, you need the Vectors package. You can get it by clicking here and then saving the file as Vectors.m. Once you do that, put the file in Mathematica's Applications folder. (To learn where that is, enter $InstallationDirectory in Mathematica.)
An alternative to installing the package is to load it remotely by entering the following command:
Import["http://www.math.armstrong.edu/Vectors.m"]
That takes the place of either of <<Vectors` or Needs["Vectors`"]. Amazing, huh?