Find a unit vector in the direction of `vec(PQ)`, where P and Q have coordinates (5, 0, 8) and (3, 3, 2) respectively.

Explanation

To find a unit vector in the direction of the vector \(\vec{PQ}\) where the points \(P\) and \(Q\) have coordinates \(P(5, 0, 8)\) and \(Q(3, 3, 2)\) respectively, we can follow these steps:

### Step 1: Find the vector \(\vec{PQ}\)

The vector \(\vec{PQ}\) can be calculated using the formula:
\[ \vec{PQ} = \vec{Q} - \vec{P} \]
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