Question
Find the rotation matrix for a rotation by an angle \(\cos^{-1}(3/5)\) about axis \((2,1,2)\). }
Answer
The rotation matrix is given by \[ R= \begin{pmatrix} 7/9 & -(4/9)& 4/9 \\[2mm] 28/45 & 29/45 & -(4/9)\\[2mm] -(4/45)& 28/45 & 7/9\end{pmatrix}.\]
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