### Home > PC3 > Chapter 9 > Lesson 9.1.4 > Problem9-79

9-79.

Calculate the area of a parallelogram defined by the vectors $⟨−4, 5⟩$ and $⟨6, −15⟩$.

The formula for the area of a parallelogram defined by vectors $⟨a, b⟩$ and $⟨c, d⟩$ is:

$\pm \left| \begin{array} { c c } { a } & { b } \\ { c } & { d } \end{array} \right|$