eli5: If planes have infinite length, and infinite width, wouldn’t skew lines eventually intersect?

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eli5: If planes have infinite length, and infinite width, wouldn’t skew lines eventually intersect?

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Anonymous 0 Comments

Skew lines cannot intersect. That’s what makes them askew. It’s part of their definition. Because skew lines do not intersect, they cannot form a single plane that contains both skew lines.

Now if each skew line lies on its own plane, and if these planes are not perfecrly parallel to each other, then the *planes* will intersect. But the skew lines themselves will never touch.

Anonymous 0 Comments

I think you’re conflating infinite with “anything and everything must happen”. That is not the case, of course, and as skew lines go further down an infinite plane they just diverge more.

Anonymous 0 Comments

Skew lines only exist in 3-d space, and never intersect. In a plane, all lines which aren’t parallel will intersect.