Inertial wave lakes, and laboratory experiments. Rossby waves, geostrophic currents, and geostrophic winds are examples of inertial waves. Inertial waves are also likely to exist in the molten core of the rotating Earth. Inertial waves are restored to equilibrium by the Coriolis force, a result of rotation. To be precise, the Coriolis force arises (along with the centrifugal force) in a rotating frame to account for the fact that such a frame is always accelerating. Inertial waves, therefore, cannot exist without rotation. More complicated than tension on a string, the Coriolis force acts at a 90° angle to the direction of motion,
Plane of rotation is reflected in another, distinct, -dimensional space, described by a unit vector perpendicular to it, the result is This is a simple rotation in dimensions, through twice the angle between the subspaces, which is also the angle between the vectors m and . It can be checked using geometric algebra that this is a rotation, and that it rotates all vectors as expected. The quantity is a rotor, and is its inverse as So the rotation can be written where is the rotor. The plane of rotation is the plane containing and , which must be distinct otherwise the reflections