###### Answer: always

Perpendicular lines are _________ coplanar

In elementary geometry the property of being perpendicular is the relationship between two lines which meet at a right angle. The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle. Explicitly a first line is perpendicular to a second line if the two lines …

In the event that two lines are coplanar but not parallel their common plane has equation 0 = (m•d′)x 0 + (d×d′)•x where x = (x 1 x 2 x 3). The slightest perturbation will destroy the existence of a common plane and near-parallelism of the lines will cause numeric difficulties in finding such a plane even if it does exist. Line – line …

Perpendicular – Wikipedia

Collinearity – Wikipedia

Perpendicular – Wikipedia

Perpendicular – Wikipedia

From Wikipedia the free encyclopedia The distance between two parallel lines in the plane is the minimum distance between any two points lying on the lines . It equals the perpendicular distance from any point on one line to the other line . In the case of non-parallel coplanar intersecting lines the distance between them is zero.

On the other hand four distinct points can either be collinear coplanar or determine the entire space. Two distinct lines can either intersect be parallel or be skew. Two parallel lines or two intersecting lines lie in a unique plane so skew lines are lines that do not meet and do not lie in a common plane.

Testing for skewness. If each line in a pair of skew lines is defined by two points that it passes through then these four points must not be coplanar so they must be the vertices of a tetrahedron of nonzero volume.Conversely any …

In elementary geometry the property of being perpendicular is the relationship between two lines which meet at a right angle. The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle. Explicitly a first line is perpendicular to a second line if the two lines …

In the event that two lines are coplanar but not parallel their common plane has equation 0 = (m•d′)x 0 + (d×d′)•x where x = (x 1 x 2 x 3). The slightest perturbation will destroy the existence of a common plane and near-parallelism of the lines will cause numeric difficulties in finding such a plane even if it does exist. Line – line …

Perpendicular – Wikipedia

Collinearity – Wikipedia

Perpendicular – Wikipedia

Perpendicular – Wikipedia

From Wikipedia the free encyclopedia The distance between two parallel lines in the plane is the minimum distance between any two points lying on the lines . It equals the perpendicular distance from any point on one line to the other line . In the case of non-parallel coplanar intersecting lines the distance between them is zero.

On the other hand four distinct points can either be collinear coplanar or determine the entire space. Two distinct lines can either intersect be parallel or be skew. Two parallel lines or two intersecting lines lie in a unique plane so skew lines are lines that do not meet and do not lie in a common plane.

Testing for skewness. If each line in a pair of skew lines is defined by two points that it passes through then these four points must not be coplanar so they must be the vertices of a tetrahedron of nonzero volume.Conversely any …