Skew lines
noncoplanar lines that never intersect
Skew lines are two or more lines that do not intersect and are not parallel. In other words, they are lines that lie in different planes and have different directions. Some key properties of skew lines include:
1. Skew lines cannot be in the same plane. If they were in the same plane, they would either intersect or be parallel.
2. Skew lines have different directions. If two lines have the same direction, they are either parallel or coincident.
3. Skew lines do not intersect. If they did intersect, they would not be skew lines.
4. Skew lines are not parallel. If two lines are parallel, they have the same direction and lie in the same plane.
Examples of skew lines include a line on a desktop and a book on a different plane or a ladder leaning against a wall. Skew lines are important in real-life applications such as engineering and architecture as they can help determine the positioning of objects in a three-dimensional space.
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