If (a, b), (c, d) and (e, f) are the vertices of ABC and Δ denotes the area of ABC, then |a, c, e; b, d, f; 1, 1, 1|^2 is equal to

If (a, b), (c, d) and (e, f) are the vertices of $\displaystyle \triangle \mathrm{ABC}$ and $\displaystyle \Delta$ denotes the area of $\displaystyle \triangle \mathrm{ABC}$, then $\displaystyle \left|\begin{array}{lll}\mathrm{a} & \mathrm{c} & \mathrm{e} \\ \mathrm{b} & \mathrm{d} & \mathrm{f} \\ 1 & 1 & 1\end{array}\right|^{2}$ is equal to