okay so this is my question, calculate a vector that points in the same direction as $x=\begin{bmatrix} 31 \\ 1 \\ 11 \end{bmatrix}$ of length 3. The answer is supposed to be written as $w=(x,y,z)^T = \begin{bmatrix} x \\ y \\ z \end{bmatrix}$.
So this is what I thought - Unit vector times 3 - $\begin{bmatrix}\frac{93}{\sqrt{1083}} \\ \frac{3}{\sqrt{1083}} \\ \frac{33}{\sqrt{1083}} \end{bmatrix}$