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Created page with 'File:lighterstill.jpgright|frame ==Origin== New Latin, from Latin, carrier, from ''vehere'' to carry *[http://en.wikipedia.org/wiki/19th_century 1...'
[[File:lighterstill.jpg]][[File:Vector250.jpg|right|frame]]
==Origin==
New Latin, from [[Latin]], carrier, from ''vehere'' to carry
*[http://en.wikipedia.org/wiki/19th_century 1846]
==Definitions==
*1a : a [[quantity]] that has [[magnitude]] and [[direction]] and that is commonly [[represented]] by a directed line segment whose length represents the magnitude and whose [[orientation]] in [[space]] represents the direction; broadly : an element of a [http://en.wikipedia.org/wiki/Vector_space vector space]
:b : a [[course]] or [[compass]] [[direction]] especially of an airplane
*2a : an [[organism]] (as an insect) that transmits a pathogen
:b : pollinator
*3: an [[agent]] (as a plasmid or [[virus]]) that contains or carries modified [[genetic]] material (as recombinant DNA) and can be used to introduce exogenous genes into the genome of an organism
==Description==
*[http://en.wikipedia.org/wiki/Euclidean_vector Euclidean vector], a geometric entity endowed with [[magnitude]] and [[direction]] as well as a positive-definite inner product; an element of a Euclidean vector space. In [[physics]], euclidean vectors are used to represent [[physical]] [[quantities]] that have both magnitude and direction, such as force, in contrast to scalar quantities, which have no direction.
*[http://en.wikipedia.org/wiki/Vector_product Vector product], or cross product, an operation on two vectors in a three-[[dimensional]] [http://en.wikipedia.org/wiki/Euclidean_space Euclidean space], producing a third three-dimensional Euclidean vector
*[http://en.wikipedia.org/wiki/Burgers_vector Burgers vector], a vector that [[represents]] the magnitude and direction of the [[lattice]] [[distortion]] of dislocation in a [http://en.wikipedia.org/wiki/Crystal_lattice crystal lattice]
*[http://en.wikipedia.org/wiki/Laplace%E2%80%93Runge%E2%80%93Lenz_vector Laplace–Runge–Lenz vector], a ''vector'' used chiefly to [[describe]] the shape and [[orientation]] of the [[orbit]] of one astronomical body around another
*[http://en.wikipedia.org/wiki/Normal_vector Normal vector], or surface normal, a ''vector'' that is ''perpendicular'' to a (hyper)surface at a [[point]]
*[http://en.wikipedia.org/wiki/Random_vector Random vector] or [http://en.wikipedia.org/wiki/Multivariate_random_variable multivariate random variable], in [[statistics]], a set of real-valued [[random]] variables that may be correlated.[http://en.wikipedia.org/wiki/Vector_%28mathematics_and_physics%29]
==See also==
*[http://gscim.com/phy/Physics_Basics/vectors.html '''''Vectors in physics'''''] Includes an embedded interactive program on ''vectors''.
[[Category: Mathematics]]
[[Category: Physics]]
==Origin==
New Latin, from [[Latin]], carrier, from ''vehere'' to carry
*[http://en.wikipedia.org/wiki/19th_century 1846]
==Definitions==
*1a : a [[quantity]] that has [[magnitude]] and [[direction]] and that is commonly [[represented]] by a directed line segment whose length represents the magnitude and whose [[orientation]] in [[space]] represents the direction; broadly : an element of a [http://en.wikipedia.org/wiki/Vector_space vector space]
:b : a [[course]] or [[compass]] [[direction]] especially of an airplane
*2a : an [[organism]] (as an insect) that transmits a pathogen
:b : pollinator
*3: an [[agent]] (as a plasmid or [[virus]]) that contains or carries modified [[genetic]] material (as recombinant DNA) and can be used to introduce exogenous genes into the genome of an organism
==Description==
*[http://en.wikipedia.org/wiki/Euclidean_vector Euclidean vector], a geometric entity endowed with [[magnitude]] and [[direction]] as well as a positive-definite inner product; an element of a Euclidean vector space. In [[physics]], euclidean vectors are used to represent [[physical]] [[quantities]] that have both magnitude and direction, such as force, in contrast to scalar quantities, which have no direction.
*[http://en.wikipedia.org/wiki/Vector_product Vector product], or cross product, an operation on two vectors in a three-[[dimensional]] [http://en.wikipedia.org/wiki/Euclidean_space Euclidean space], producing a third three-dimensional Euclidean vector
*[http://en.wikipedia.org/wiki/Burgers_vector Burgers vector], a vector that [[represents]] the magnitude and direction of the [[lattice]] [[distortion]] of dislocation in a [http://en.wikipedia.org/wiki/Crystal_lattice crystal lattice]
*[http://en.wikipedia.org/wiki/Laplace%E2%80%93Runge%E2%80%93Lenz_vector Laplace–Runge–Lenz vector], a ''vector'' used chiefly to [[describe]] the shape and [[orientation]] of the [[orbit]] of one astronomical body around another
*[http://en.wikipedia.org/wiki/Normal_vector Normal vector], or surface normal, a ''vector'' that is ''perpendicular'' to a (hyper)surface at a [[point]]
*[http://en.wikipedia.org/wiki/Random_vector Random vector] or [http://en.wikipedia.org/wiki/Multivariate_random_variable multivariate random variable], in [[statistics]], a set of real-valued [[random]] variables that may be correlated.[http://en.wikipedia.org/wiki/Vector_%28mathematics_and_physics%29]
==See also==
*[http://gscim.com/phy/Physics_Basics/vectors.html '''''Vectors in physics'''''] Includes an embedded interactive program on ''vectors''.
[[Category: Mathematics]]
[[Category: Physics]]