Show that the line through the points `(1, 1, 2), (3, 4, 2)`is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).

Explanation

To show that the line through the points \( A(1, 1, 2) \) and \( B(3, 4, 2) \) is perpendicular to the line through the points \( C(0, 3, 2) \) and \( D(3, 5, 6) \), we will follow these steps:

### Step 1: Find the direction vector of line AB
The direction vector \( \vec{AB} \) can be found by subtracting the coordinates of point A from point B.

\[ \vec{AB} = B - A = (3 - 1, 4 - 1, 2 - 2) = (2, 3, 0) \]
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