Vectors

• Euclidean vector, a geometric entity endowed with both length and direction; an element of a Euclidean vector space. In physics, euclidean vectors are used to represent physical quantities which have both magnitude and direction, such as force, in contrast to scalar quantities, which have no direction.
  • Vector product, or cross product, an operation on two vectors in a three-dimensional Euclidean space, producing a third three-dimensional Euclidean vector
  • Vector projection, also known as the vector resolute, a mapping of one vector onto another
  • The vector part of a quaternion, a term used in 19th century mathematical literature on quaternions
  • Burgers vector, a vector that represents the magnitude and direction of the lattice distortion of dislocation in a crystal lattice
  • Displacement vector, a vector that specifies the change in position of a point relative to a previous position
  • Gradient vector, one vector in a vector field
  • Laplace–Runge–Lenz vector, a vector used chiefly to describe the shape and orientation of the orbit of one astronomical body around another
  • Normal vector, or surface normal, a vector which is perpendicular to a surface
  • Null vector, or zero vector, a vector whose components are all zero
  • Orbital state vectors, which define the state of an orbiting body
  • Position (vector), a vector which represents the position of an object in space in relation to an arbitrary reference point
  • Poynting vector, in physics, a vector representing the energy flux of an electromagnetic field
  • Tangent vector (disambiguation), a vector that follows the direction of a curve or a surface at a given point
  • Wave vector, a vector representation of a wave
• Gyrovector, a hyperbolic geometry version of a vector
• Axial vector, or pseudovector, a quantity that transforms like a vector under a proper rotation
• Basis vector, one of a set of vectors (a "basis") that, in linear combination, can represent every vector in a given vector space
• Coordinate vector, in linear algebra, an explicit representation of an element of any abstract vector space
• Darboux vector, the areal velocity vector of the Frenet frame of a space curve
• Four-vector, in the theory of relativity, a vector in a four-dimensional real vector space called Minkowski space
• Interval vector, in musical set theory, an array that expresses the intervallic content of a pitch-class set
• P-vector, the tensor obtained by taking linear combinations of the wedge product of p tangent vectors
• Probability vector, in statistics, a vector with non-negative entries that add up to one
• Row vector or column vector, a one-dimensional matrix often representing the solution of a system of linear equations
• Spin vector, or Spinor, is an element of a complex vector space introduced to expand the notion of spatial vector
• Tuple, an ordered list of numbers, sometimes used to represent a vector
• Unit vector, a vector in a normed vector space whose length is 1
• Vector, an element of a vector space