1. The "Earth" is not parallel or equal to the x-y-plane!

2. The nearest point on the "Earth" is placed on a line perpendicular to the "Earth" passing through (1,1,1).

3.

4. to calculate the point of intersection between the "Earth" and the line l plug in 1+t for each variable:

5. Therefore the coordinates of the nearest city are (6,6,6)