The vector concept, as it is known today, is the result of a gradual development over a period of more than 200 … See more

In physics and engineering, a vector is typically regarded as a geometric entity characterized by a magnitude and a direction. It is formally defined as a directed line segment, or arrow, in a Euclidean space. … See more

Vectors are usually denoted in lowercase boldface, as in , and , or in lowercase italic boldface, as in a. (Uppercase letters are typically used to represent matrices.) Other conventions include or a, especially in handwriting… See more

The following section uses the Cartesian coordinate system with basis vectors
Two vectors are said to be equal if they have the same magnitude and direction. Equivalently they will be equal if their coordinate… See more

Vectors have many uses in physics and other sciences.
In abstract vector spaces, the length of the arrow depends on a dimensionless scale. If it represents, for example, a force, the "scale" is of … See more

An alternative characterization of Euclidean vectors, especially in physics, describes them as lists of quantities which behave in a certain way under a coordinate transformation. A contravariant vector is required to … See more

• Affine space, which distinguishes between vectors and points
• Array (data structure)
• Banach space
• Clifford algebra… See more