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Is it true that two lines that lie in different parallel planes must be skew lines?
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.
What else can I help you with?
Two lines that do not intersect and are in different planes?
They are skew lines. Two parallel lines must be in the same plane.
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.
Are two lines in intersecting planes are sometimes 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.
Can lines on different planes be parallel?
Yes, they can. Since three points define a plane, take any two points on one line and a point on the other line, and form the plane with those three points. Once you have that, then use Euclid's test to see if they are parallel. Alternately, if the planes themselves are parallel, then the lines are as well, since they definitely will never intersect.
How are perpendicular lines similar to intersecting lineshow are they different?
The question is baffling. They're not different. Perpendicular lines must be intersecting lines.The only lines that are not intersecting lines are parallel lines. If two lines arenot parallel, then they must intersect, and they can be perpendicular or not.
Two lines that do not intersect and are in different planes?
They are skew lines. Two parallel lines must be in the same plane.
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.
Is it true that two parallel lines must be vertical?
No, as long as the lines will never touch, they are parallelNo, if they have the same slope, they're parallel. This means they could be vertical, horizontal, or anything in between.And don't listen to the other guy, because skew lines are lines on two different planes, never intersect, and are not parallel.
Can lines on different planes be parallel?
Yes, they can. Since three points define a plane, take any two points on one line and a point on the other line, and form the plane with those three points. Once you have that, then use Euclid's test to see if they are parallel. Alternately, if the planes themselves are parallel, then the lines are as well, since they definitely will never intersect.
How are perpendicular lines similar to intersecting lineshow are they different?
The question is baffling. They're not different. Perpendicular lines must be intersecting lines.The only lines that are not intersecting lines are parallel lines. If two lines arenot parallel, then they must intersect, and they can be perpendicular or not.
Do two distinct planes intersect in a pair of lines?
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
Are skew lines in the same plane?
No. Skew lines must be in different planes. Skew lines have no common points (they never cross).
Can two planes that do not intersect be parallel?
No. By definition, planes can be extended in all directions to infinity. If they are not parallel, they will intersect somewhere.
How are two line that are parallel to each other different from any other two lines?
Two parallel lines never meet or intersect. Two lines that aren't parallel must have one point somewhere where they intersect.
what- planes ABC and EFG are parallel.Which of these segments must be parallel?
A+
What is important about parallel?
The importance is that parallel lines must never meet.
What is an antonym for skew lines?
Parallel Lines - Skew lines are lines that do not intersect and do not lie in the same plane. If two lines lie in the same plane they they must either intersect or they are parallel.
