Answer to Question #257 in Geometry for David

Question

There are two straight lines, which intersect. Can we draw a straight line which doesn’t belong to the plane, to which given lines belong, through the intersection point? Explain your answer.

Answer 1

Yes, we can, because we can draw an infinite number of straight lines through a point in space and (according to the third theorem of stereometry) if two different lines have a common point, then through them can be built a plane, and only one.