Answer
$ \lt \dfrac{10}{\sqrt{35}},\dfrac{-2}{\sqrt{35}},\dfrac{-6}{\sqrt{35}} \gt$
Work Step by Step
Here, $|v|=\sqrt{(5)^2+(-1)^2+(-3)^2}=\sqrt {35}$
The unit vector $\hat{\textbf{u}}$ can be calculated as: $\hat{\textbf{u}}=\dfrac{v}{|v|}$
Now, $2 \hat{\textbf{u}}=2 [\dfrac{\lt 5,-1,-3 \gt}{\sqrt {35}}]= \lt \dfrac{10}{\sqrt{35}},\dfrac{-2}{\sqrt{35}},\dfrac{-6}{\sqrt{35}} \gt$
Thus, our final answer is: $ \lt \dfrac{10}{\sqrt{35}},\dfrac{-2}{\sqrt{35}},\dfrac{-6}{\sqrt{35}} \gt$
