If $\overrightarrow {AB}=3\hat i-2\hat j+2\hat k$ and $\overrightarrow {BC}=-\hat i-2\hat k$ are adjacent sides of a parallelogram, then the angle between the diagonals is ?

Question

$\begin{array}{1 1} \large\frac{\pi}{4} \\ \large\frac{\pi}{3} \\ \large\frac{2\pi}{3} \\ \large\frac{\pi}{6}\end{array}$