| 21. | But given the simple bivectors geometric algebra is a useful tool for studying planes of rotation using algebra like the above.
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| 22. | These correspond to the planes of rotation, the eigenplanes of the matrix, which can be calculated using algebraic techniques.
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| 23. | Its blades feature a symmetrical airfoil with its plane of symmetry in the plane of rotation and perpendicular to the air stream.
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| 24. | When a rotation has multiple planes of rotation they are always orthogonal to each other, with only the origin in common.
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| 25. | The plane of rotation is the plane orthogonal to this axis, so the axis is a surface normal of the plane.
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| 26. | For a general double rotation the planes of rotation and angles are unique, and given a general rotation they can be calculated.
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| 27. | The Plane of rotation article takes only the geometric algebra approach to rotation, referencing to works of the Cambridge geometric algebra group.
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| 28. | Alternatively, the more intuitive view of it is nicer we define it such that the vector points out of the plane of rotation.
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| 29. | Related articles include Rotation ( mathematics ), Rotor ( mathematics ), Geometric algebra, Plane of rotation, Rodrigues'rotation formula.
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| 30. | There is coupling between time and motion in the plane of rotation that disappears when the black hole's angular momentum goes to zero.
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