1.
If a=2i^+j^+3k^\vec{a} = 2\hat{i} + \hat{j} + 3\hat{k}, b=i^+3j^k^\vec{b} = \hat{i} + 3\hat{j} - \hat{k} and c=3i^j^2k^\vec{c} = 3\hat{i} - \hat{j} - 2\hat{k}, then the value of aaabacbabbbccacbcc\begin{vmatrix} \vec{a}\cdot\vec{a} & \vec{a}\cdot\vec{b} & \vec{a}\cdot\vec{c} \\ \vec{b}\cdot\vec{a} & \vec{b}\cdot\vec{b} & \vec{b}\cdot\vec{c} \\ \vec{c}\cdot\vec{a} & \vec{c}\cdot\vec{b} & \vec{c}\cdot\vec{c} \end{vmatrix} is