Definitions for unit vector

This page provides all possible meanings and translations of the word unit vector

WiktionaryRate this definition:(0.00 / 0 votes)

  1. unit vector(Noun)

    A vector with length 1.

FreebaseRate this definition:(0.00 / 0 votes)

  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.


Find a translation for the unit vector definition in other languages:

Select another language:

Discuss these unit vector definitions with the community:

Word of the Day

Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:     


Use the citation below to add this definition to your bibliography:


"unit vector." STANDS4 LLC, 2015. Web. 1 Apr. 2015. < vector>.

Are we missing a good definition for unit vector? Don't keep it to yourself...

The Web's Largest Resource for

Definitions & Translations

A Member Of The STANDS4 Network

Nearby & related entries:

Alternative searches for unit vector:

Thanks for your vote! We truly appreciate your support.