Vector precession occurs when a vector's movement is governed by a relationship where its rate of change is always perpendicular to both itself and a stationary axis. This interaction ensures that the vector undergoes pure rotation, maintaining a constant length and a fixed angle relative to the axis. Consequently, the moving vector traces a circular path that sweeps out the geometric shape of a cone. The speed of this steady rotation, referred to as the angular frequency, is equivalent to the magnitude of the fixed axis vector. This fundamental physical process is observed in the wobble of the Earth's axis and the behavior of protons in magnetic fields, and it can be visualized by watching a precessing arrow orbit a central axis.
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%% Condensed Notes
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%% Proof and Derivation
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