### Home > PC3 > Chapter 9 > Lesson 9.2.1 > Problem 9-105

9-105.

Given the points

The triangle formed by these points.

The area of a triangle with vertices

, and is: Note: You will need to use a calculator to evaluate this determinant.

The parallelogram formed by these points.

To compute the area of a parallelogram using a determinant, two vectors are needed.

Write two vectors, one from the first point to the second point and another from the first point to the third point.The formula for the area of a parallelogram defined by vectors

and is: