10902
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Normalizing Vectors
A nonzero vector is normalized by dividing it by its length. The resulting vector has length 1 and lies in the same direction.
In 2D, the length of
is given by Pythagoras's formula:
.
In 3D, the length of
is
.
In any dimension, the normalized vector of
is
.
Contributed by:
George Beck
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
RELATED LINKS
Normalized Vector
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Normalizing Vectors
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/NormalizingVectors/
Contributed by:
George Beck
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
3D Vector Decomposition
Mito Are and Valeria Antohe
Commutativity of 3D Vector Addition
Izidor Hafner
Cross Product of Vectors in the y-z Plane
Izidor Hafner
Vector Projection
Oliver Knill (Harvard University)
Vector Addition is Commutative
Izidor Hafner
Signed 2D Triangle Area from the Cross Product of Edge Vectors
Jim Arlow
Curl of Some Vector Fields
Ryan Zhan
Three Vector Spaces
Jelena Kovacevic
2D Vector Addition
Joe Bolte
From Vector to Plane
Ed Pegg Jr
Related Topics
3D Graphics
Linear Algebra
Vector Algebra
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+