In solid geometry, skew lines are two lines
that do not intersect and are not parallel.
Equivalently, they are lines that are not coplanar. A simple example of a pair
of skew lines is the pair of lines through opposite edges of a regular tetrahedron.
Lines that are coplanar either intersect or are parallel, so skew lines exist
only in three or more dimensions.
Distance between two skew lines
To calculate the distance between two skew
lines the lines are expressed using vectors,
.
The cross product of b and d is perpendicular to the
lines, as is the unit vector
(if |b × d| is
zero the lines are parallel and this method cannot be used). The distance
between the lines is then
.
(Our solved example in mathguru.com uses
this concept)
http://en.wikipedia.org/wiki/Skew_lines
The above explanation is copied from
Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons
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