Opposite direction (geometry) in the context of "Parallel lines"

Play Trivia Questions online!

or

Skip to study material about Opposite direction (geometry) in the context of "Parallel lines"

Ad spacer

⭐ Core Definition: Opposite direction (geometry)

In geometry, direction, also known as spatial direction or vector direction, is the common characteristic of all rays which coincide when translated to share a common endpoint; equivalently, it is the common characteristic of vectors (such as the relative position between a pair of points) which can be made equal by scaling (by some positive scalar multiplier).

Two vectors sharing the same direction are said to be codirectional or equidirectional. All codirectional line segments sharing the same size (length) are said to be equipollent. Two equipollent segments are not necessarily coincident; for example, a given direction can be evaluated at different starting positions, defining different unit directed line segments (as a bound vector instead of a free vector). Two colinear rays or oriented line segments (sharing the same supporting line) are not necessarily codirectional and vice versa.

↓ Menu

>>>PUT SHARE BUTTONS HERE<<<

👉 Opposite direction (geometry) in the context of Parallel lines

In geometry, parallel lines are coplanar infinite straight lines that do not intersect at any point. Parallel planes are infinite flat planes in the same three-dimensional space that never meet. In three-dimensional Euclidean space, a line and a plane that do not share a point are also said to be parallel. However, two noncoplanar lines are called skew lines. Line segments and Euclidean vectors are parallel if they have the same direction or opposite direction (not necessarily the same length).

Parallel lines are the subject of Euclid's parallel postulate. Parallelism is primarily a property of affine geometries and Euclidean geometry is a special instance of this type of geometry.In some other geometries, such as hyperbolic geometry, lines can have analogous properties that are referred to as parallelism.The concept can also be generalized to non-straight parallel curves and non-flat parallel surfaces, which keep a fixed minimum distance and do not touch each other or intersect.

↓ Explore More Topics
In this Dossier

Opposite direction (geometry) in the context of Equipollent (geometry)

↑ Return to Menu