The Vector Dimension Tax: How Embedding Size Quietly Drains Your Budget
Most teams building RAG systems spend zero time thinking about embedding dimensions. They grab text-embedding-3-large, leave the dimensions at the default 3072, and move on. At 10,000 documents that's fine. At 10 million, you've handed your cloud provider a 3.75. At 100 million documents, you're staring at a terabyte of float32 values that mostly aren't earning their keep.
The relationship between embedding dimensions and actual retrieval quality is far weaker than the relationship between dimensions and operational cost. That gap — between the cost you're paying and the quality you're getting — is the vector dimension tax.
