No foolin'. The only way to do it is to reformat your hard drive.
To remove Norton from you computer you need to download an uninstall tool from Symantec's website. What a PIA.
I did that. It did not remove Norton. The Searches I did found dozens of Norton/Symantec files.
It may be a PITA but unless you do it, Symantec ain't goin' nowhere. Add-Remove Programs just won't do the job.
I gave up on them entirely after their "2003" products. After that, installing Symantec products always seemed to break something else, and they were massive resource hogs. One of their products, Norton WinDoctor, should properly have been called RegistryWrecker. It made utterly insane recommendations for registry "fixes."
I have never read a company history of Symantec, but I bet there was a point when the competent engineering types, the ones who had created the products and understood them from the ground up, left or were fired as a group.