Question
Define unit vector.
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$ \begin{vmatrix} \text{a - b} & \text{b - c} & \text{c - a} \\ \text{b - c} & \text{c - a} & \text{a - b} \\ \text{c - a} & \text{a - b} & \text{b - c} \end{vmatrix}.$
$\begin{bmatrix}-1&5&6\\ \sqrt{3}&5&6\\2&3&-1\end{bmatrix}$