The Angle Between Two Taste Profiles

A recommender represents each user by a mean-centred rating vector over three films — a positive entry means the user rated that film above their own average, a negative entry below it:

$\vec u = (2,\, -3,\, 6), \qquad \vec v = (1,\, 2,\, 2)$

Cosine similarity between two users is

$\cos\theta = \frac{\vec u \cdot \vec v}{\|\vec u\|\,\|\vec v\|}$

What is $\cos\theta$ for this pair?