### Rigid Body

Six identical point masses $m$ are in the positions $\vec {r_1}=(a,0,0)$, $\vec {r_2}=(-a,0,0)$, $\vec {r_3}=(a,a,0)$, $\vec {r_4}=(-a,-a,0)$, $\vec {r_5}=(0,0,a)$, $\vec {r_6}=(0,0,-a)$. The anglular velocity vector $\vec{\omega}=(\omega, 0,0)$. Find $\vec {J}$.