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Mathematics
OpenStudy (anonymous):

Two planes are parallel. A line in one plane is skew to a line in the other plane. Two planes are parallel. A line in one plane is skew to a line in the other plane. @Mathematics

OpenStudy (anonymous):

nice.

OpenStudy (anonymous):

Sorry...is this always? sometimes? or never? always--when you cant find a counterexample...sometimes--when you have both example and counterexample...Never--when you have only counterexamples and no examples.

OpenStudy (anonymous):

mmmm. What level of maths is this? Hahah

OpenStudy (anonymous):

Geometry Honors.

OpenStudy (anonymous):

Do you know what Always, Sometimes, Never?

OpenStudy (anonymous):

It's been a while. I'm sure someone else can help you :( I would think never, but that's just because I don't think a line can be skew or perpendicular to it's plane. So when a plane is parallel, all associating lines will be on that plane, therefore not skewing with another line. But I'm not sure :/

OpenStudy (anonymous):

why can't it be perpendicular to its plane? im kinda confused, can you explain it again?

OpenStudy (anonymous):

Think of a single plane, laying parallel to the floor. Can a line come out of it towards the ceiling? (I'm actually asking you, I can't remember if this is possible, haha). If not, then it can't happen. If it can, then it is possible always.

OpenStudy (anonymous):

but lines go in all directions...so yea i guess the lines would go toward the ceilings...and they would be perpendicular or parallel...so wouldn't it be sometimes instead?

OpenStudy (amistre64):

what does it mean to be skew but in different plains?

OpenStudy (anonymous):

skew lines are non-coplanar lines that never intersect.

OpenStudy (amistre64):

according to the def, id say always

OpenStudy (amistre64):

the only possibility for 2 non coplaned lines to intersect is when their planes intersect; and parallel planes dont do that

OpenStudy (anonymous):

right, so can you explain it once again?

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