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Student[LinearAlgebra][RotationMatrix] - construct a rotation Matrix in two or three dimensions
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Calling Sequence
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RotationMatrix(t, v)
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Parameters
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t
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rotation angle
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v
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(optional) Vector; axis of the rotation
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Description
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The RotationMatrix(t) command returns the  rotation Matrix corresponding to the angle t, measured in radians.
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The RotationMatrix(t,v) command returns the  rotation Matrix corresponding to the angle t, where the rotation axis is given by v. The direction of rotation is determined by using the right-hand rule with respect to v.
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Examples
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![with(Student[LinearAlgebra])](/support/helpjp/helpview.aspx?si=4409/file05026/math73.png)
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![Matrix([[(1/2)*2^(1/2), -(1/2)*2^(1/2)], [(1/2)*2^(1/2), (1/2)*2^(1/2)]])](/support/helpjp/helpview.aspx?si=4409/file05026/math80.png)
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Rotation about the y-axis in three-dimensional space:
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![Matrix([[1/2, 0, (1/2)*3^(1/2)], [0, 1, 0], [-(1/2)*3^(1/2), 0, 1/2]])](/support/helpjp/helpview.aspx?si=4409/file05026/math89.png)
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Rotation about an oblique vector in three-dimensional space:
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![Matrix([[.5116658857, -.3121435208, .8004776350], [.8004776350, .5116658857, -.3121435208], [-.3121435208, .8004776350, .5116658858]])](/support/helpjp/helpview.aspx?si=4409/file05026/math98.png)
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