Ans=A

$\overrightarrow{r}=3\hat{i}+2\hat{j}-2\hat{k}$

First ,let’s calculate the magnitude of the vector

$\left| \overrightarrow{r} \right|=\sqrt{3^{2}+2^{2}+\left( -2 \right)^{2}}$

$\sqrt{9+4+4}$

$\sqrt{17}$

Now the unit vector $\overrightarrow{u}$ in the direction of $\overrightarrow{r}$ is given by

$\overrightarrow{u}=\frac{\overrightarrow{r}}{\left| \overrightarrow{r} \right|}$=

$\frac{3\hat{i}}{\sqrt{17}}+\frac{2\hat{j}}{\sqrt{17}}-\frac{2\hat{k}}{\sqrt{17}}$