Question

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

Answer 1

nice.

Answer 2

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.

Answer 3

mmmm. What level of maths is this? Hahah

Answer 4

Geometry Honors.

Answer 5

Do you know what Always, Sometimes, Never?

Answer 6

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 :/

Answer 7

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

Answer 8

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.

Answer 9

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?

Answer 10

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

Answer 11

skew lines are non-coplanar lines that never intersect.

Answer 12

according to the def, id say always

Answer 13

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

Answer 14

right, so can you explain it once again?