In mathematics and physics, vector can refer to:

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

Vector fields

Vector field, a construction in vector calculus which associates a vector to every point in a subset of Euclidean space

Conservative vector field, a vector field which is the gradient of a scalar potential field

Hamiltonian vector field, a vector field defined for any energy function or Hamiltonian

Killing vector field, a vector field on a Riemannian manifold

Solenoidal vector field, a vector field with zero divergence

Vector potential, a vector field whose curl is a given vector field

Vector flow, a set of closely related concepts of the flow determined by a vector field

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Vector spaces

Vector space, a mathematical structure made up of vectors, objects which may be added with another vector or multiplied by a scalar value

Euclidean vector space, an n-dimensional space with notions of distance and angle that obey the Euclidean relationships

Dual vector space, a vector space consisting of all linear functionals on another, given vector space

Graded vector space, a type of vector space that includes the extra structure of gradation

Normed vector space, a vector space on which a norm is defined

Ordered vector space, a vector space equipped with a partial order

Super vector space, name for a Z2-graded vector space

Symplectic vector space, a vector space V equipped with a non-degenerate, skew-symmetric, bilinear form

Topological vector space, a blend of topological structure with the algebraic concept of a vector space

Manipulation of vectors, fields, and spaces

Vector bundle, a topological construction which makes precise the idea of a family of vector spaces parameterized by another space

Vector calculus, a branch of mathematics concerned with differentiation and integration of vector fields

Vector Analysis, a free, online book on vector calculus first published in 1901 by Edwin Bidwell Wilson

Vector decomposition, refers to decomposing a vector of Rn to several vectors, each linearly independent

Vector differential, or del, is a vector differential operator represented by the nabla symbol:

Vector Laplacian, the vector Laplace operator, denoted by is a differential operator defined over a vector field

Vector notation, common notations used when working with vectors

Vector operator, a type of differential operator used in vector calculus

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

Vector-valued function, a mathematical function that maps real numbers to vectors

Vectorization (mathematics), a linear transformation which converts a matrix into a column vector

Other uses in mathematics and physics

Vector autoregression, an econometric model used to capture the evolution and the interdependencies between multiple time series

Vector boson, a boson with the spin quantum number equal to 1

Vector measure, a function defined on a family of sets and taking vector values satisfying certain properties

Vector meson, a meson with total spin 1 and odd parity

Vector quantization, a quantization technique used in signal processing

Vector soliton, a solitary wave with multiple components coupled together that maintains its shape during propagation

Vector synthesis, a type of audio synthesis

Witt vector, an infinite sequence of elements of a commutative ring

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

Vector fields

Vector field, a construction in vector calculus which associates a vector to every point in a subset of Euclidean space

Conservative vector field, a vector field which is the gradient of a scalar potential field

Hamiltonian vector field, a vector field defined for any energy function or Hamiltonian

Killing vector field, a vector field on a Riemannian manifold

Solenoidal vector field, a vector field with zero divergence

Vector potential, a vector field whose curl is a given vector field

Vector flow, a set of closely related concepts of the flow determined by a vector field

We are very grateful for your visit on this blog, please you may download the files you need here and of course free and is very important!

## Download Theory of Mathematics for School Exam

Download Theory of Mathematics

Download Exam Questions of Mathematics

**Download for Vocational School (SMK)**Download Theory of Mathematics

Download Exam Questions of Mathematics

Vector spaces

Vector space, a mathematical structure made up of vectors, objects which may be added with another vector or multiplied by a scalar value

Euclidean vector space, an n-dimensional space with notions of distance and angle that obey the Euclidean relationships

Dual vector space, a vector space consisting of all linear functionals on another, given vector space

Graded vector space, a type of vector space that includes the extra structure of gradation

Normed vector space, a vector space on which a norm is defined

Ordered vector space, a vector space equipped with a partial order

Super vector space, name for a Z2-graded vector space

Symplectic vector space, a vector space V equipped with a non-degenerate, skew-symmetric, bilinear form

Topological vector space, a blend of topological structure with the algebraic concept of a vector space

Manipulation of vectors, fields, and spaces

Vector bundle, a topological construction which makes precise the idea of a family of vector spaces parameterized by another space

Vector calculus, a branch of mathematics concerned with differentiation and integration of vector fields

Vector Analysis, a free, online book on vector calculus first published in 1901 by Edwin Bidwell Wilson

Vector decomposition, refers to decomposing a vector of Rn to several vectors, each linearly independent

Vector differential, or del, is a vector differential operator represented by the nabla symbol:

Vector Laplacian, the vector Laplace operator, denoted by is a differential operator defined over a vector field

Vector notation, common notations used when working with vectors

Vector operator, a type of differential operator used in vector calculus

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

Vector-valued function, a mathematical function that maps real numbers to vectors

Vectorization (mathematics), a linear transformation which converts a matrix into a column vector

Other uses in mathematics and physics

Vector autoregression, an econometric model used to capture the evolution and the interdependencies between multiple time series

Vector boson, a boson with the spin quantum number equal to 1

Vector measure, a function defined on a family of sets and taking vector values satisfying certain properties

Vector meson, a meson with total spin 1 and odd parity

Vector quantization, a quantization technique used in signal processing

Vector soliton, a solitary wave with multiple components coupled together that maintains its shape during propagation

Vector synthesis, a type of audio synthesis

Witt vector, an infinite sequence of elements of a commutative ring

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