Find the value of $\theta$ satisfying $\begin{bmatrix} 1 & 1 & \sin3\theta \\ -4 & 3 & \cos2\theta \\ 7 & -7 & -2 \end{bmatrix}\;=\;0$

Question

$\begin{array}{1 1}(A)\frac{\pi}{6} \\ (B)\frac{\pi}{3} \\ (C)\frac{\pi}{4} \\ (D)\frac{\pi}{2}\end{array} $