| 41. | This rotation transformation can be represented in different ways, e . g ., as a rotation matrix or a quaternion.
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| 42. | To retrieve the axis angle representation of a rotation matrix, calculate the angle of rotation from the trace of the rotation matrix
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| 43. | To retrieve the axis angle representation of a rotation matrix, calculate the angle of rotation from the trace of the rotation matrix
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| 44. | The vectors and are indeed related by a rotation, in fact by the same rotation matrix which rotates the coordinate frames.
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| 45. | The transformation is a rotation around some point if and only if " A " is a rotation matrix, meaning that
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| 46. | Therefore, R = e ^ { Wt } is a rotation matrix and in a time dt is an infinitesimal rotation matrix.
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| 47. | Therefore, R = e ^ { Wt } is a rotation matrix and in a time dt is an infinitesimal rotation matrix.
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| 48. | The product of two rotation matrices is a rotation matrix, and the product of two reflection matrices is also a rotation matrix.
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| 49. | The product of two rotation matrices is a rotation matrix, and the product of two reflection matrices is also a rotation matrix.
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| 50. | It is common to describe a rotation matrix in terms of an axis and angle, but this only works in three dimensions.
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