Two lines in two intersecting planes can be parallel, intersecting, or skew.
If the planes are non-intersecting, then they're parallel. Any line that intersects one of them intersects both of them.
yes
The circles could be in 2 planes that are parallel to each other. Lines and planes can be parallel. Lines of latitude are examples of circles that are in parallel planes.
Yes, there are three ways that two different planes can intersect a line: 1) Both planes intersect each other, and their intersection forms the line in the system. This system's solution will be infinite and be the line. 2) Both planes intersect the line at two different points. This system is inconsistent, and there is no solution to this system. However, both planes will still be intersecting the same line, albeit at different locations on the line. 3) Both planes intersect each other, but their intersection does NOT form the line in the system. However, if the line in the system intersects the planes' intersection, then they will all intersect a single point. The solution will be finite and be a single point. There are also 3 ways two different planes WON'T both intersect a line. 1) The two planes and the line are all parallel to each other, and none of them intersect each other. 2) The line is parallel to one plane, but intersects the other plane. 3) The same as #2, but now the line is parallel to the other plane and intersects the one plane.
Skew Lines. :)
Yes, two lines in intersecting planes are never skew. Skew lines are defined as lines that do not intersect and are not parallel, typically found in different planes. Since the two lines are in intersecting planes, they can either intersect or be parallel, but they cannot be skew.
Two lines in two intersecting planes can be parallel, intersecting, or skew.
No, two lines in intersecting planes cannot be skew lines. Skew lines are defined as lines that do not intersect and are not parallel, typically existing in different planes. However, if two lines are in intersecting planes, they must either intersect at some point or be parallel to each other. Thus, they cannot be classified as skew lines.
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.
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.
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.
If the planes are non-intersecting, then they're parallel. Any line that intersects one of them intersects both of them.
A line, or intersecting planes.
Intersecting planes!
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.
Yes, it is true that two lines that lie in different parallel planes must be skew lines. Skew lines are defined as lines that are not parallel and do not intersect, and since the lines in different parallel planes cannot meet or be parallel to each other, they fit this definition. Therefore, they are considered skew lines.