A vector $\overrightarrow{r}$ is inclined at equal angles to the three axes.If the magnitude of $\overrightarrow{r}$ is $2\sqrt 3$ units,find $\overrightarrow{r}.$

Question

$\begin{array}{1 1} (A)\;2\hat i-2\hat j+2\hat k \\ (B)\;2(\pm \hat i\pm \hat j\pm \hat k) \\(C)\;4(\pm \hat i\pm \hat j\pm \hat k) \\ (D)\;2(\pm \hat i+ \hat j+ \hat k)\end{array} $