Answer
$\frac{1}{\sqrt{35}}\langle-5,3,-1\rangle$ is a unit vector in the same direction as $\langle-5,3,-1\rangle$.
Work Step by Step
We are given the vector $\langle-5,3,-1\rangle$. In order to get a unit vector with the same direction, we can simply divide by the length of the vector: $|\langle-5,3,-1\rangle|=\sqrt{(-5)^2+(3)^2+(-1)^2}=\sqrt{35}\Rightarrow \frac{1}{\sqrt{35}}\langle-5,3,-1\rangle$.
