Copyright © Philip M. Parker, INSEAD. Terms of Use.

UNIT VECTOR

Specialty Definition: UNIT VECTOR

DomainDefinition

Space

A vector of unit length. Vectors have both magnitude and direction, but in some calculations it is convenient to separate the two. Denoting vector by an underline, a vector V can be represented by two factors multiplying each other, a unit vector Vu giving just the direction, and a magnitude V, i.e., the vector is V=VuV. (references)

Source: compiled by the editor from various references; see credits.

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Specialty Definition: Unit vector

(From Wikipedia, the free Encyclopedia)

In mathematics, a unit vector in a normed vector space is a vector (most commonly a spatial vector) whose length is 1. A unit vector is often written with a "hat" thus: î.

In Euclidean space, the dot product of two unit vectors is simply the cosine of the angle between them. This follows from the formula for the dot product, since the lengths are both 1.

The normalized vector of a non-zero vector v is the unit vector codirectional with v, i.e.,

Normalized vector is thus sometimes used as simply a synonym for unit vector.

The elements of a basis are often chosen to be unit vectors. In the 3-dimensional Cartesian coordinate system, these are usually i, j, k, unit vectors along the x, y , z axes respectively. Thus:

These are not always written with a hat; but it can generally be assumed that i, j, k are unit vectors in most contexts.

Other co-ordinate systems, such as polar coordinates or spherical coordinates use different unit vectors; notations vary.

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Unit vector."

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Crosswords: UNIT VECTOR

Specialty definitions using "UNIT VECTOR": divergence theorem. (references)

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Modern Translation: UNIT VECTOR

Language Translations for "UNIT VECTOR"; alternative meanings/domain in parentheses.

German

  

Einheitsvektor. (various references)

   

Pig Latin

  

itunay ectorvay

Source: compiled by the editor from various translation references.

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Anagrams: UNIT VECTOR

Scrabble® Enable2K-Verified Anagrams

Words within the letters "c-e-i-n-o-r-t-t-u-v"

-2 letters: contrite, contrive, intercut, neurotic, tincture, toreutic, unerotic.

-3 letters: cittern, coenuri, cointer, convert, cornute, corvine, cottier, counter, cutover, evictor, incurve, noticer, nuttier, overcut, recount, routine, ruction, tonetic, tritone, trounce, uncover, unvoice, venturi.

-4 letters: citron, coiner, cornet, cortin, corvet, cotter, couter, covert, cretin, curite, curvet, cutter, erotic, intort, invert, noetic, norite, notice, novice, nutter, orcein.

 Words containing the letters "c-e-i-n-o-r-t-t-u-v"
 

+1 letter: overcutting.

 

+2 letters: constructive, contributive.

 

+3 letters: counteractive.

 

+4 letters: constructively, contributively, deconstructive, nondestructive, reconstructive, unconstructive.

 

+5 letters: nonconstructive, obstructiveness, overcultivation, ultraconvenient, ventriloquistic.

Source: compiled by the editor from various references; see credits.

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INDEX

1. Crosswords
2. Translations: Modern
3. Anagrams
4. Bibliography


  

Copyright © Philip M. Parker, INSEAD. Terms of Use.