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Q: Lines that lie in different planes and never intersect are called?

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parralel lines

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.

They may be either parallel or skew.

skew lines

Skew lines are non-coplanar, which means they are in different planes. Skew lines are in different planes and they do not intersect.

They intersect at a point

They are skew lines. Two parallel lines must be in the same plane.

They're either parallel lines or skew lines.

Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect

Two lines that are not coplaner exist on two different planes. These lines do not and will not intersect by simple definition. It is however, when speaking of three or more lines, when the possibility that two or more of them may intersect.

-- An infinite number of different planes can intersect the same line. -- The same line can lie in an infinite number of different planes. -- An infinite number of different lines can intersect the same plane.

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