Definitions for unit vector
unit vec·tor

WiktionaryRate this definition:0.0 / 0 votes

1. unit vectornoun

   A vector with length 1.

WikipediaRate this definition:0.0 / 0 votes

1. Unit vector

   In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase letter with a circumflex, or "hat", as in v ^ {\displaystyle {\hat {\mathbf {v} }}} (pronounced "v-hat"). The term direction vector, commonly denoted as d, is used to describe a unit vector being used to represent spatial direction and relative direction. 2D spatial directions are numerically equivalent to points on the unit circle and spatial directions in 3D are equivalent to a point on the unit sphere. The normalized vector û of a non-zero vector u is the unit vector in the direction of u, i.e., u ^ = u ‖ u ‖ {\displaystyle \mathbf {\hat {u}} ={\frac {\mathbf {u} }{\|\mathbf {u} \|}}} where ‖u‖ is the norm (or length) of u. The term normalized vector is sometimes used as a synonym for unit vector. Unit vectors are often chosen to form the basis of a vector space, and every vector in the space may be written as a linear combination of unit vectors.

WikidataRate this definition:5.0 / 1 vote

1. Unit vector

   In mathematics, a unit vector in a normed vector space is a vector whose length is 1. A unit vector is often denoted by a lowercase letter with a "hat", like this: . 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 or versor of a non-zero vector u is the unit vector codirectional with u, i.e., where ||u|| is the norm of u. The term normalized vector is sometimes used as a synonym for unit vector. The elements of a basis are usually chosen to be unit vectors. Every vector in the space may be written as a linear combination of unit vectors. The most commonly encountered bases are Cartesian, polar, and spherical coordinates. Each uses different unit vectors according to the symmetry of the coordinate system. Since these systems are encountered in so many different contexts, it is not uncommon to encounter different naming conventions than those used here.

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1. unit vector

   The unit vector symbol -- In this Symbols.com article you will learn about the meaning of the unit vector symbol and its characteristic.

How to pronounce unit vector?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say unit vector in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of unit vector in Chaldean Numerology is: 7

2. Pythagorean Numerology

   The numerical value of unit vector in Pythagorean Numerology is: 3

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Unit_Vector
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Unit_Vector
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=unit vector