Indeed, if the disk was reformatted (possibly by the first person who used it) Vista is set to format to NTFS by default. In this case, you will not be able to write to the disk.
If you want to be able to write to the disk, you should pull all your important information off of it and onto the Mac's hard drive (if possible). Then click the smiley (Finder) and go to *Applications > Utilities > Disk Utility* Locate the volume of the hard drive in question in the pane on the left, it will be the second hard drive, slightly below the hard drive. The
Format: listed toward the bottom of the window will tell you whether or not the drive is NTFS. If it is, go to the erase tab and Set the Volume Format to either Mac OS Extended (Journaled), or MS-DOS File System.
MS-DOS formatting will allow the drive to be read and written to by both PC and Mac, but the Mac will not be able to read or write from this format as quickly as it can in disks that are it's own Mac OS Extended (Journaled) format.
*It's recommended, for performance and integrity, that you format the drive with Mac OS Extended (Journaled).* This type of disk will be readable on a PC without third party software, but only with third party software. If you're going to capture or play video off of this drive, then don't even consider the MS-DOS format.
If you can't see the option for MS-DOS, make sure you're selecting the drive itself, it should be just above the drive you selected and should start with a number followed by GB and a manufacturer name.
Also, realize that FireWire is faster than USB 2.0, in case this drive has both, use FireWire and not USB 2.0 (for improved performance in either format).
By the way, welcome to the world of Mac, you will see it truly is a community.