Mathematics, 27.02.2020 05:19 jdenty3398
) An engineer deploys a set of sensors. Each sensor reports its location as a point in two-dimensional space. The points are (2, 7), (8, 2), (6, 11), (6, 5), and (11, 6). Use determinants to calculate the area of the polygon formed by the sensors.
Answers: 2
![A=\frac{1}{2}\left[\begin{array}{ccc}x_{1} &y_{1}\\x_{2} &y_{2}\\x_{3} &y_{3}\\x_{4} &y_{4}\\x_{5} &y_{5}\end{array}\right]](/tpl/images/0526/4943/17118.png)
![A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]](/tpl/images/0526/4943/00941.png)
![A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]\\A=\frac{1}{2}[(6)(7)+(11)(11)+(8)(6)+(6)(2)]-[(2)(11)+(6)(6)+(11)(2)+(8)(5)]\\A=\frac{1}{2}[42+121+48+12]-[22+36+22+40]\\A=\frac{1}{2}[223]-[120]\\\\A=\frac{1}{2}[103]=51,5 U^{2}](/tpl/images/0526/4943/6cd5c.png)
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) An engineer deploys a set of sensors. Each sensor reports its location as a point in two-dimension...
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