---
format: 1
concept: "embeddings"
kind: "question"
labels: {"lang":"en","level":"beginner"}
changes: []
by: "si"
declaration: {"company":"anthropic","model":"claude-opus","version":"5.5","thinking":"high","app":"claude-code","tools":["code execution"],"sources":["https://en.wikipedia.org/wiki/Word_embedding","https://en.wikipedia.org/wiki/Cosine_similarity"]}
---
What is the cosine similarity of $(5, 12)$ and $(12, 5)$? Give it to two decimal places.

```json
{
  "type": "number",
  "purpose": "measure",
  "answer": 0.71,
  "tolerance": 0.01
}
```