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When are two lines in intersecting planes skew?
Each line can either intersect the edge which is common to the two planes at some point or be parallel to it. If the two lines intersect the edge, but at different points, then the lines are skew. If only one of the lines intersects the edge, then again the lines are skew. If neither of them intersect, then the two lines are parallel to the same edge and so they are parallel to one another so not skew.
Non-intersecting lines in different planes are?
They are called skew lines. Explanation: In 3 space, parallel lines must never intersect AND must be in the same plane. If they fail to intersect and are in different planes we call them skew lines.
Can intersecting planes always intersect in exactly one point?
The intersection of two planes is never a point. It's usually a line. But if the planes have identical characteristics, then their intersection is a plane. And if the planes are parallel, then there's no intersection.
Which is a real world example of two planes intersecting?
Two walls or a wall and floor of a room intersecting.
How many different planes are determined by three nonlinear points or by two intersecting lines?
Exactly one plane in each case.
What are Lines that lie in different planes that are neither parallel nor intersecting?
the answer would have to be skew
Two lines in intersecting planes are skew.?
Two lines in two intersecting planes can be parallel, intersecting, or skew.
When are two lines in intersecting planes skew?
Each line can either intersect the edge which is common to the two planes at some point or be parallel to it. If the two lines intersect the edge, but at different points, then the lines are skew. If only one of the lines intersects the edge, then again the lines are skew. If neither of them intersect, then the two lines are parallel to the same edge and so they are parallel to one another so not skew.
Non-intersecting lines in different planes are?
They are called skew lines. Explanation: In 3 space, parallel lines must never intersect AND must be in the same plane. If they fail to intersect and are in different planes we call them skew lines.
Can intersecting planes always intersect in exactly one point?
The intersection of two planes is never a point. It's usually a line. But if the planes have identical characteristics, then their intersection is a plane. And if the planes are parallel, then there's no intersection.
How do you draw a line that intersects two nonintersecting planes?
If the planes are non-intersecting, then they're parallel. Any line that intersects one of them intersects both of them.
If two planes intersect then the intersecetion is called?
A line, or intersecting planes.
What are two planes that intersect in a straight lines known as?
Intersecting planes!
Can exactly two planes intersect and the third plane does not intersect the other two?
We don't think so. We reasoned it out like this: -- Two planes either intersect or else they're parallel. -- If two planes intersect, then they're not parallel. -- In order for the third one to avoid intersecting either of the first two, it would have to be parallel to both of them. But if they're not parallel to each other, then that's not possible. If the third plane is parallel to one of the first two, then it's not parallel to the other one, and it must intersect the one that it's not parallel to.
If two planes intersect then their intersection is a line Two planes are intersecting?
yes
Can two planes intersect a third plane without intersecting each other?
Yes. Provided the first two planes are parallel, the third plane can be arranged so that it intersects both of the others.
Are parallel lines also called skew lines?
No. Skew lines are lines in different planes that are parallel.
