Two Vectors, One Number

A single attention head is reading the sentence "the cat sat". The head works in $d_k = 5$ dimensions, and the token "sat" supplies the query:

$q = [\,2,\ -1,\ 3,\ 1,\ 1\,]$

Each of the three tokens supplies a key:

What is the scaled attention score between the query from "sat" and the key from "cat"?

This is the raw score at the end of the scoring stage — nothing has been turned into a weight yet.

Round your answer to 2 decimal places.