Positional relationship of two lines
The positional relationship of two lines provides information on how two lines within a coordinate system are positioned to one another.
A distinction is made between four possible positional relationships for lines in three-dimensional space. The lines can
For examining the positional relationship we use the following scheme.
The direction vectors are collinear:That means the lines are parallel. If they have a random point (e. g. position vector) in common they are coincident. Otherwise they are parallel.
The direction vectors are not collinear:In this case the direction vectors are equated. The solution of the equation corresponds to the point of intersection (lines intersect). If there is no definite solution the lines are skew.