Any three mutually skew lines of lie in precisely one regulus.
2.
Therefore, any four points in general position always form skew lines.
3.
For the algebraic form of this condition, see Skew lines # Testing for skewness.
4.
This never holds for skew lines.
5.
The hyperbolic paraboloid is a doubly ruled surface : it contains two families of mutually skew lines.
6.
By calculating the volume of the tetrahedron bounded by four points, they can be used to identify skew lines.
7.
Similarly, in three-dimensional space a very small perturbation of any two parallel or intersecting lines will almost certainly turn them into skew lines.
8.
A necessary condition for two lines to intersect is that they are in the same plane & mdash; that is, are not skew lines.
9.
In a set of mutually skew lines with the property that any line intersecting three lines of must intersect all the lines of is called a transversals of.
10.
In three or more dimensions, even two lines almost certainly do not intersect; pairs of non-parallel lines that do not intersect are called skew lines.
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