If minus 2 3 2 and m n are three coplanar vectors and radic 6 then which one of the follow...........

Mathematics (NDA) Vector

If $\small \vec{a}$ = $\small \hat{i}$ − $\small \hat{j}$ + $\small \hat{k}$ , $\small \vec{b}$ =2 $\small \hat{i}$ +3 $\small \hat{j}$ +2 $\small \hat{k}$ and $\small \vec{c}$ = $\small \hat{i}$ +m $\small \hat{j}$ +n $\small \hat{k}$ are three coplanar vectors and | $\small \vec{c}$ |=√6,then which one of the following is correct?