skew lines
Lines that do not intersect and are not coplanar.
Skew lines are lines in 3-dimensional space (i.e. not in the same plane) that do not intersect, but also do not run parallel to one another. Skew lines have the property that they never meet, but they also never form a right angle with each other. Because they are not in the same plane, there is no common perpendicular which intersects both skew lines.
It is worth noting that if two lines in 3-dimensional space are parallel, they do not intersect but they are not skew lines. Skew lines have neither a point of intersection nor are they parallel to each other.
In addition, there are some properties of skew lines:
1. Skew lines cannot be coplanar. If two lines are coplanar, either they intersect or they are parallel.
2. The shortest distance between two skew lines can be found by drawing the perpendicular that intersects both lines. This distance is the length of the line segment between the points where the perpendicular meets each of the lines.
3. Skew lines always form a dihedral angle between them. This dihedral angle is the angle between the planes containing each line and is measured in degrees.
Examples of skew lines include a ladder leaning up against a wall, or two non-intersecting streets that cross one another.
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