Slightly Misleading NASA Map of Asteroid Hazards

The only safe spots seem to be places so close to the Sun that the Earth would likely fall into the star if we were located there.

NASA published a map showing the paths of 1,400 Earth-threatening hazard asteroids.  As I have mentioned before, the Earth is floating among some serious threats we are barely aware of.  However, the map has a problem.  The map is only in two-dimensions while three dimensions are needed to truly understand orbits in space.  Almost certainly these asteroids are not on the same plane as the Earth so where they actually cross the Earth's path is something to consider.