Question

Parallel lines intersect at infinity proof

Answer 1

yes
parallel lines intersect at infinity
because the parallel lines never meet so they will meet at infinity
for example:look above
hope it helps you

Answer 2

Answer: (This is in the case of projective geometry)

In projective geometry, any pair of lines always intersects at some point, but parallel lines do not intersect in the real plane. The line at infinity is added to the real plane. This completes the plane, because now parallel lines intersect at a point which lies on the line at infinity.

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