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Example:Finding Shortest distance

 Post to:

Explanation:

Skew lines

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