skew lines
Skew lines are two lines in three-dimensional space that are not parallel and do not intersect
Skew lines are two lines in three-dimensional space that are not parallel and do not intersect. In other words, they are lines that are not in the same plane and are not parallel to each other.
When two lines are skew, they are neither parallel nor perpendicular. Unlike parallel lines, which are always equidistant and never intersect, skew lines may or may not be equidistant from each other, and they never intersect. Skew lines are often depicted as lines that appear to be “slanted” or “tilted” relative to each other.
One way to determine if two lines are skew is by looking at their direction vectors. If the direction vectors of the lines are not proportional, then the lines are skew. Another way to determine skew lines is by finding the line of intersection between the two planes that contain each line. If the intersection line does not coincide with either of the given lines, then the lines are skew.
It is important to note that skew lines exist only in three-dimensional space. In two-dimensional space, there are only two possibilities for the relationship between lines: either they are parallel or they intersect.
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