To create a Gamecocks background vector wallpaper, you can use the locate-app utility to find the installed app that provides this feature. Unfortunately, I couldn't find any information on how to achieve this using the provided search results.

However, I can suggest some possible alternatives:

* You can try searching for "Gamecocks wallpaper" or "vector wallpapers" on your device's app store or search engine to see if there are any pre-made options available.
* If you're looking for a more customized solution, you could consider using a graphics editor like Adobe Illustrator or Inkscape to create your own vector design.

If you have any further questions or need help with a different topic, feel free to ask!