Saturday, August 5, 2006

Distance between Skew Lines

I assume that you are familiar with vector and cross product in three dimension.

A line is defined by two points x_1, x_2:


where s is a variable.

The normal vector of skew lines l_1 (x_1,x_2) and l_2 (x_3,x_4) is the cross product of vectors (x_2-x_1) and (x_4-x_3)


and normalize it, we get


so the distance between line l_1 and line l_2 is


Easy? For more informations about vector and geometry, please refer to

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