[QUE/ME-02013]

\(\newcommand{\Prime}{^\prime}\)Drive \(3\times 3\) rotation matrix corresponding to a rotation about axis \(\hat{n}\) by an angle \(\theta\) using the formula
\begin{equation}
 \vec{x}\Prime = (\vec{x}\cdot\hat{n})\hat{n} -
(\hat{n}\times\vec{x})\sin\theta -
\hat{n}\times(\hat{n}\times\vec{x})\cos\theta.
\end{equation}