Supabase provides an open-source Firebase alternative built on PostgreSQL with AI/vector capabilities through pgvector integration. Free tier includes 500MB database, 1GB file storage, and 50MB vector storage. Pro at $25/month adds 8GB database, 100GB storage, and no project pausing. Team at $599/month adds SOC2, priority support, and higher limits. The platform provides auto-generated REST and GraphQL APIs, real-time subscriptions, authentication, and edge functions from PostgreSQL database. Vector search uses pgvector extension with support for ivfflat and hnsw indexes. AI features include Supabase AI in dashboard (natural language to SQL), embeddings integration via edge functions, and RAG application templates. The open-source core enables self-hosting for complete control. Strong developer experience with CLI, local development, and GitHub integration. Page should cover: free vs Pro tier comparison, pgvector setup and optimization, edge functions for AI, authentication system, comparison with Firebase and Neon, self-hosting considerations, and use cases for AI-powered applications.