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

Question

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

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Answer 1

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.