It seems like you're looking for a Java client to interact with the Supabase storage API. However, I couldn't find any information on a specific "Vector" product related to Java clients.

But, I can suggest using the @supabase/storage-js package, which is an isomorphic storage client for Supabase. You can download the Java jar file from the NPM Registry by running the following command:

npm install @supabase/storage-js

This will download the storage-js package and its dependencies, including a Java jar file.

Alternatively, you can use the @upstash/vector package, which is an HTTP/REST based Vector DB client built on top of Upstash REST API. However, I couldn't find any information on how to integrate it with Supabase storage API in Java.

If you're looking for a recipe or tutorial on how to download and use the Supabase storage API in Java, I suggest checking out the official Supabase documentation or searching for tutorials on websites like Dev.to or GitHub.