Difference between revisions of "Vector"
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==Origin== | ==Origin== | ||
New Latin, from [[Latin]], carrier, from ''vehere'' to carry | New Latin, from [[Latin]], carrier, from ''vehere'' to carry | ||
| − | *[ | + | *[https://en.wikipedia.org/wiki/19th_century 1846] |
==Definitions== | ==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 [ | + | *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 [https://en.wikipedia.org/wiki/Vector_space vector space] |
:b : a [[course]] or [[compass]] [[direction]] especially of an airplane | :b : a [[course]] or [[compass]] [[direction]] especially of an airplane | ||
*2a : an [[organism]] (as an insect) that transmits a pathogen | *2a : an [[organism]] (as an insect) that transmits a pathogen | ||
| Line 11: | Line 11: | ||
*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 | *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== | ==Description== | ||
| − | *[ | + | *[https://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. |
| − | *[ | + | *[https://en.wikipedia.org/wiki/Vector_product Vector product], or cross product, an operation on two vectors in a three-[[dimensional]] [https://en.wikipedia.org/wiki/Euclidean_space Euclidean space], producing a third three-dimensional Euclidean vector |
| − | *[ | + | *[https://en.wikipedia.org/wiki/Burgers_vector Burgers vector], a vector that [[represents]] the magnitude and direction of the [[lattice]] [[distortion]] of dislocation in a [https://en.wikipedia.org/wiki/Crystal_lattice crystal lattice] |
| − | *[ | + | *[https://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 |
| − | *[ | + | *[https://en.wikipedia.org/wiki/Normal_vector Normal vector], or surface normal, a ''vector'' that is ''perpendicular'' to a (hyper)surface at a [[point]] |
| − | *[ | + | *[https://en.wikipedia.org/wiki/Random_vector Random vector] or [https://en.wikipedia.org/wiki/Multivariate_random_variable multivariate random variable], in [[statistics]], a set of real-valued [[random]] variables that may be correlated.[https://en.wikipedia.org/wiki/Vector_%28mathematics_and_physics%29] |
==See also== | ==See also== | ||
| − | *[ | + | *[https://gscim.com/phy/Physics_Basics/vectors.html '''''Vectors in physics'''''] Includes an embedded interactive program on ''vectors''. |
[[Category: Mathematics]] | [[Category: Mathematics]] | ||
[[Category: Physics]] | [[Category: Physics]] | ||
Latest revision as of 02:44, 13 December 2020
Origin
New Latin, from Latin, carrier, from vehere to carry
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 vector space
- 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
- 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.
- Vector product, or cross product, an operation on two vectors in a three-dimensional Euclidean space, producing a third three-dimensional Euclidean vector
- Burgers vector, a vector that represents the magnitude and direction of the lattice distortion of dislocation in a crystal lattice
- 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 that is perpendicular to a (hyper)surface at a point
- Random vector or multivariate random variable, in statistics, a set of real-valued random variables that may be correlated.[1]
See also
- Vectors in physics Includes an embedded interactive program on vectors.
