How do you use pgvector with Supabase, Neon, or AWS RDS?

Supabase, Neon, and AWS RDS all offer pgvector pre-installed or installable with a single SQL command. On managed services, you enable the extension with CREATE EXTENSION vector, then create tables and indexes as with self-hosted Postgres. Supabase provides additional tooling around pgvector including automatic embedding generation and higher-level client libraries. AWS RDS and Neon treat pgvector as a standard extension and rely on Postgres's normal management plane. Connection pooling and read replicas apply normally to vector workloads on these platforms.