[QUE/ME-02019] ME-PROBLEM

Show that an rotation by an infinitesimal angle \(\Delta \theta\) about an axis \(hat{n}\) is equivalent to successive rotations by infinitesimal angles \(\alpha, \beta, \gamma\) about the three coordinate axes. Keeping first order terms in \(\Delta \theta\), find expressions for the angles \(\alpha, \beta, \gamma\) in terms of components of \(hat{n}\) and \(\Delta\theta\).