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 the points A(3, 4, 1) and B(5, 1, 6) crosses the XY-plane, we can follow these steps:

### Step 1: Determine the direction ratios of the line AB
The direction ratios can be found using the coordinates of points A and B.

- For point A(3, 4, 1) and point B(5, 1, 6), the direction ratios (d) are calculated as:
\[
d_x = x_2 - x_1 = 5 - 3 = 2
...