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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
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