[QUE/ME-02021] ME-PROBLEM

A rotation takes a vector by an angle \(\alpha\) about axis (2,1,2) takes vector \(\underline{\sf A}\) to new vector \(\underline{\sf A}{'}\). Taking \(\alpha =\cos^{-1}\Big(\frac{3}{5}\Big), 0 < \alpha < \pi/2 \), find the rotation matrix \(R\), such that \(\underline{\sf B}=R \underline{\sf A}\) that relates two vectors.

Link to Mathematica Answer