[QUE/ME-02001] Infnitesimal rotation of a vector

Using geometrical arguments, show under an infinitesimal rotation of a vector \(\vec{A}\) about an axis \(\hat{n}\), and with suitable sign convention, the change in the vector is given by \(\Delta \vec{A}= -\Delta\theta \hat{n}\times{\vec{A}}\), where \(\Delta \theta\) is an infinitesimal angle of rotation.