Let the angle $\theta,;0<\theta<\tfrac{\pi}{2}$ between two unit vectors $\hat a$ and $\hat b$ be $\sin^{-1}\left(\tfrac{\sqrt{65}}{9}\right)$. If the vector $\vec c=3\hat a+6\hat b+9(\hat a\times\hat b)$, then the value of $9(\vec c\cdot\hat a)-3(\vec c\cdot\hat b)$ is