2006-06-30 00:59:41 · 4 answers · asked by PRAKASH 1 in Science & Mathematics ➔ Mathematics
In geometry, two lines are said to be skew lines if they do not intersect but are not parallel.
Skew lines only exist in three or more dimensions; any two distinct lines in the plane which are not parallel must intersect at some point. In fact, two lines are skew lines if and only if they do not lie in a single plane together. This means that if each line is defined by two points, these four points must not be coplanar; put another way, they must be vertices of a tetrahedron of nonzero volume. Any three of them will still be coplanar, since three points define a plane, but no three points will be collinear, since this would make all four points coplanar.
2006-06-30 01:27:36 · answer #1 · answered by a13 4 · 1⤊ 0⤋
Skew Lines are two or more lines which have no intersections but are not parallel, also called agonic lines. Since two lines in the plane must intersect or be parallel, skew lines can exist only in three or more dimensions.
2006-06-30 08:07:29 · answer #2 · answered by spursfan91 1 · 1⤊ 0⤋
Skew lines: two lines that do not meet and are not parallel.
No, it is not possible in a plane, or whatever a "palne"[sic] is.
2006-06-30 08:32:10 · answer #3 · answered by Anonymous · 1⤊ 0⤋
two non- intersecting lines which do not lie in the same plane - in euclidean geometry
2006-06-30 08:05:11 · answer #4 · answered by STEVE S 2 · 1⤊ 0⤋