|
Equidirectional
In geometry, direction, also known as spatial direction or vector direction, is the common characteristic of all ray (geometry), rays which coincide when translation (geometry), translated to share a common endpoint; equivalently, it is the common characteristic of vector (geometry), vectors (such as the relative position between a pair of points) which can be made equal by scaling (geometry), scaling (by some positive scalar multiplication, 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 (geometry), equipollent''. Two equipollent segments are not necessarily coincident; for example, a given direction can be evaluated at different starting Position (geometry), positions, defining different unit directed line segments (as a bound vector instead of a free vector). A direction is often represented as a unit vector, the res ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vector (geometry)
In mathematics, physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude (or length) and direction. Euclidean vectors can be added and scaled to form a vector space. A '' vector quantity'' is a vector-valued physical quantity, including units of measurement and possibly a support, formulated as a '' directed line segment''. A vector is frequently depicted graphically as an arrow connecting an ''initial point'' ''A'' with a ''terminal point'' ''B'', and denoted by \stackrel \longrightarrow. A vector is what is needed to "carry" the point ''A'' to the point ''B''; the Latin word means 'carrier'. It was first used by 18th century astronomers investigating planetary revolution around the Sun. The magnitude of the vector is the distance between the two points, and the direction refers to the direction of displacement from ''A'' to ''B''. Many algebraic operations on real numbe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
