If 2 lines run perpendicular to one another does a 3rd line exist?

Answer 1

Are you allowed to go into 3 dimensions? Then definitely, you can place 3 lines that are perpendicular to each other. Think of the lines that form the corners of a room.

Take the line formed by the floor and one wall. Then take the line formed by the floor and another wall. Those two lines are perpendicular. And then so is the line in the corner of the room going up.

Now if you want a fourth line to be perpendicular to all 3, you are going to have to delve into the fourth dimension. :)

Answer 2

Only one line can be perpendicualr on another line at only a particular point.But several lines may be perpendicular on a line at different points