Let $\vec a=6\hat i+\hat j-\hat k$ and $\vec b=\hat i+\hat j$. If $\vec c$ is a vector such that $|\vec c|\ge 6$, $\ \vec a\cdot\vec c=6|\vec c|$, $|\vec c-\vec a|=2\sqrt2$ and the angle between $\vec a\times\vec b$ and $\vec c$ is $60^\circ$, then $|(,(\vec a\times\vec b)\times\vec c,)|$ equals: