11,000+
Interactive Demonstrations Powered by Notebook Technology »
TOPICS
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Formula for 3D Rotation
This Demonstration explains a formula for the rotation of the vector
around the axis given by the unit vector
through the angle
.
The formula is
, using the dot and cross product of vectors.
The resultant vector is
.
The vector
is the orthogonal projection of the vector
onto the vector
.
The vector
is the result of the rotation of the vector
around
through the angle
.
The vector
is the orthogonal projection of
onto
.
is the orthogonal projection of
onto
.
Contributed by:
Izidor Hafner
THINGS TO TRY
Rotate and Zoom in 3D
Slider Zoom
Automatic Animation
SNAPSHOTS
RELATED LINKS
Understanding 3D Rotation
(
Wolfram Demonstrations Project
)
Rotation
(
Wolfram
MathWorld
)
PERMANENT CITATION
Izidor Hafner
"
Formula for 3D Rotation
"
http://demonstrations.wolfram.com/FormulaFor3DRotation/
Wolfram Demonstrations Project
Published: September 6, 2011
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
Using Eigenvalue Analysis to Rotate in 3D
Raja Kountanya
Commutativity of 3D Vector Addition
Izidor Hafner
3D Vector Decomposition
Mito Are and Valeria Antohe
Coordinate Transformation of a-Matrix and alpha-Matrix
Robert McIntosh
Vector Addition is Commutative
Izidor Hafner
Decomposition of a Vector in 2D
Izidor Hafner
Cross Product of Vectors in the y-z Plane
Izidor Hafner
Vector Rotations in 3D
Stephen Wilkerson (Towson University)
Iterated Matrix Operations in 3D
Ed Pegg Jr
Three Parametrizations of Rotations
Aaron T. Becker and Benedict Isichei
Related Topics
3D Graphics
Linear Algebra
Vector Algebra
Browse all topics