Chapter 3, Problem 17P

The area of a triangle ABC can be calculated by $\left|r_{AB}\times r_{AC}\right|/2$ , where r_ABand r_ACare vectors connecting the vertices A and B, and A and C, respectively. Determine the area of the triangle shown in the figure. Use the following steps in a script tile to calculate the area.

First, define the vectors r_OA, r_OB, and r_OCfrom knowing the coordinates of points A, B, and C. Then determine the vectors r_ABand r_ACfrom r_OA, r_OBand r_OC. Finally, determine the area by using MATLAB’s built-in functions cross, sum, and sqrt.