Two non parallel lines in 3 space must intersect in at least one point. True or False? I say false because you can have two perpendicular lines on x and y, but on a different "level" of the z-axis.
Am I right?
2026-03-28 10:35:01.1774694101
True or False. Non parallel lines in 3-space.
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Yes you are right. Here is a more general fact: In a vector space $V$ of dimension $m$, and numbers $k,l$ with $k+l<m$ generically two affine subspaces of dimensions $k$ and $l$ do not intersect.