Parallel lines would always lie in the same plane. They would need to be skew lines.
They're either parallel lines or skew lines.
-- 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.
Skew lines are lines that lie on separate planes. and do not intercept parallel lines that are sometimes on the same plane, but don't intersect
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.
Two lines that lie in parallel planes are not parallel to each other. While each line may be parallel to the plane it resides in, the fact that they are in different planes means they do not intersect and maintain a consistent distance apart, but they do not run in the same direction in three-dimensional space. Therefore, they can be considered skew lines, which are lines that do not intersect and are not parallel.
They're either parallel lines or skew lines.
-- 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.
Skew lines are lines that lie on separate planes. and do not intercept parallel lines that are sometimes on the same plane, but don't intersect
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.
Two lines that lie in parallel planes are not parallel to each other. While each line may be parallel to the plane it resides in, the fact that they are in different planes means they do not intersect and maintain a consistent distance apart, but they do not run in the same direction in three-dimensional space. Therefore, they can be considered skew lines, which are lines that do not intersect and are not parallel.
true * * * * * No, false. Any two straight lines that intersect define a plane in which both those lines lie.
skew lines
skew lines
Not necessarily. Points may lie in different planes.
Noncoplanar lines cannot intersect because they exist in different planes and do not share a common point. However, they can be skew lines, which means they are neither parallel nor intersecting. In three-dimensional space, two lines are only able to intersect if they lie in the same plane. Therefore, it is geometrically impossible for two noncoplanar lines to intersect.
Skew lines.
Yes, two lines can be non-coplanar if they do not lie in the same plane. This typically occurs when the lines are skew, meaning they do not intersect and are not parallel. Non-coplanar lines exist in three-dimensional space, where multiple planes can exist simultaneously. Examples include lines that run parallel to each other but in different planes or lines that intersect at a point not defining a single plane.