Find a unit vector in the direction of `vec(AB)` , where `A(1, 2, 3)` and `B( 2, 3, 5)` are the given points.

Explanation

To find a unit vector in the direction of vector \( \vec{AB} \), where points \( A(1, 2, 3) \) and \( B(2, 3, 5) \) are given, we will follow these steps:

### Step 1: Determine the position vectors of points A and B
The position vector of point \( A \) can be represented as:
\[ \vec{A} = 1 \hat{i} + 2 \hat{j} + 3 \hat{k} \]
The position vector of point \( B \) can be represented as:
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