Question

The number of lines that can be drawn perpendicular to a given line at a given point on that line in space is:A. 3B. 0C. not enough informationD. infinitely many

Answer 1

Looking at this question critically,

If the line was to be drawn on a plane paper, the number lines that can be drawn perpendicular to it is 2. That is one drawn upwards and another drawn downwards.

But the question specified that the line is drawn in space.

This means that the lines that would be drawn from any point on this other particular line would come in any direction.

We can have countless directions in space. So the lines that would be drawn perpendicular to such line at any point in space would be infinitely many.

Therefore, option D is the correct answer.