In Windows Vista Home Basic, joining a domain is not directly supported. Domain membership is typically a feature reserved for the Business or Ultimate editions of Windows Vista, not the Home Basic edition.
Since you're using Windows Vista Home Basic, you won't have the option to join a domain directly from the System Properties dialog box, as you would in Windows XP Professional. This limitation is by design in the Home Basic version.
If you need to connect to a domain from your Vista Home Basic system, you might need to upgrade to a more advanced edition of Windows Vista that supports domain joining, such as Windows Vista Business or Windows Vista Ultimate.
Alternatively, you can consider using workgroup settings instead of a domain...