Question

Two lines in a plane always intersect in a point Explain

Answer 1

If two lines intersect, then exactly one plane contains the lines."

Now, each line contains two points, and according to another theorem in my book:

"If two lines intersect, then they intersect in exactly one point."

and three noncollinear points define a plane.

Now, a line endlessly continues in two opposite directions, if two lines were to intersect, shouldn’t that create 55 points? And I'm also wondering if that would create two different planes (with both planes sharing one point at the intersection.)

Hope it helps

Answer 2

Answer:

two line in a plane always intersect in a point