Area of Quadrilateral in Determinant Form/Examples

Examples of Area of Quadrilateral in Determinant Form

Vertices at $\tuple {2, -1}, \tuple {4, 3}, \tuple {-1, 2}, \tuple {-3, -2}$

Let $Q$ be a quadrilateral embedded in the cartesian plane with vertices at $\tuple {2, -1}$, $\tuple {4, 3}$, $\tuple {-1, 2}$ and $\tuple {-3, -2}$.

The area of $Q$ is given by:

$\map \Area Q = 18$