Find the matrix of rotation in $\mathbb{R}^3$ by the angle $\theta$ around the column vector $(1, 2, 3)^T$. We assume that rotation is counterclockwise if we sit at the tip of the vector and look at the origin.
Could I use the product of three 3x3 matrices to rotate vectors about the x,y,and z points individually? If so, what would they look like?