Area of Parallelogram from Coordinates

Area of Parallelogram from Coordinates

For points $$A,B,C$$ with adjacent vectors:

$$\overrightarrow{AB}=\vec b-\vec a$$

$$\overrightarrow{AC}=\vec c-\vec a$$

the parallelogram area is:

$$A=|\overrightarrow{AB}\times\overrightarrow{AC}|$$

Usage

- Used when coordinates of the vertices are given.