#### Answer

The given statement is false because lines can have infinite other lines perpendicular to the infinitely many points on said line.

#### Work Step by Step

The Given Statement (which had to be explained false as the answer):
"In space, there is exactly one line perpendicular to a given line at any point on the line."
In simpler terms, there is only 1 line perpendicular to another line, no matter what.
This is false because, in reality, there are infinitely many lines perpendicular to a line. For every point on a line, there is one line perpendicular to it which runs through that point. Since there are infinitely many points on a line, there are infinitely many lines which are each perpendicular to a different point on said line.