X

UV meaning in Academic & Science ?

( 5 )  .  1 Rating
1499 views   .  0 comments  .   . 

Download Solution PDF

Answer: What is Unit Vector mean?

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 is used to describe a unit vector being used to represent spatial direction, and such quantities are commonly denoted as d. 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.

reference

Take Quiz To Earn Credits!

Turn Your Knowledge into Earnings.




Give Rating
Report
Write Your Comments or Explanations to Help Others
Comments(0)





Miscellaneous in Academic & Science
Miscellaneous in Academic & Science

Ever curious about what that abbreviation stands for? fullforms has got them all listed out for you to explore. Simply,Choose a subject/topic and get started on a self-paced learning journey in a world of fullforms.

Explore Other Libraries

X

Important Academic & Science Links





Copyright (c) 2021 TuteeHUB

OPEN APP
Channel Join Group Join