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