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Find the unit vector $\mathbf{u}$ that has the same direction as $\mathbf{v}=(2,2,-1)$.
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The vector $\mathbf{v}$ has length $$\|\mathbf{v}\|=\sqrt{2^{2}+2^{2}+(-1)^{2}}=3$$ Thus, $$\mathbf{u}=\frac{1}{3}(2,2,-1)=\left(\frac{2}{3}, \frac{2}{3},-\frac{1}{3}\right)$$ As a check, you may want to confirm that $\|\mathbf{u}\|=1$.
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