Find the coordinates of the point where the line through the points A(3,4,1) and B(5,1,6) crosses the XY-plane.

Explanation

To find the coordinates of the point where the line through points A(3, 4, 1) and B(5, 1, 6) crosses the XY-plane, we can follow these steps:

### Step 1: Determine the Direction Vector AB
First, we need to find the direction vector AB. The coordinates of A are (3, 4, 1) and the coordinates of B are (5, 1, 6).

The direction vector AB can be calculated as:
\[
\text{AB} = B - A = (5 - 3, 1 - 4, 6 - 1) = (2, -3, 5)
...