If $\theta$ is the angle between the vectors $2 \hat{i} + 2 \hat{j} + 4 \hat{k}$ and $3 \hat{i} + \hat{j} + 2 \hat{k}$, then $\sin \theta$ is equal to :

Question

( A ) $\frac{2}{\sqrt{7}}$
( B ) $\frac{\sqrt{5}}{21}$
( C ) $\frac{2}{7}$
( D ) $\frac{\sqrt{2}}{7}$