2007-10-20 07:44:09 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
When the line is straight and the plane is totally flat, yes.
But if either is curved, no.
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Yes, there are curved planes. Examples include the surface of a sphere, a cylinder, a bagel, ... Mobius strip.
Go to http://wolfram.mathworld.com for more.
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Have you heard of a "wormhole"? It's an astronomical term, meaning a curved plane with an interconnecting tunnel.
http://en.wikipedia.org/wiki/Wormhole
2007-10-20 07:47:23 · answer #1 · answered by Adrienne 6 · 1⤊ 1⤋
True.
If the line does not intersect the plane, then there is some line (actually a lot of parallel lines in the plane) that are parallel to the original line. This is what is meant by saying that a line and a plane are parallel.
2007-10-20 07:46:19 · answer #2 · answered by math guy 6 · 1⤊ 0⤋
That's true in Euclidean 3- space.
2007-10-20 08:39:24 · answer #3 · answered by steiner1745 7 · 0⤊ 0⤋
TRUE
2007-10-20 07:46:32 · answer #4 · answered by Anonymous · 0⤊ 0⤋