Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 10 - Review Exercises - Page 763: 114

Answer

Collinear.

Work Step by Step

The general form of a matrix of order $ 3 \times 3$ is: $\begin{bmatrix} a & b & c \\ d & e & f \\ g & h& i \end{bmatrix}=a(ei-fh) -b(di-fg)+c(dh-eg)$ Use the formula for the area of a triangle with the determinant. $D=det \begin{bmatrix} a & x & 1 \\ b & y & 1 \\ c & z & 1 \end{bmatrix} $ $Area=|\dfrac{1}{2} D|$ Now, $D=det \begin{bmatrix} 0 & -5 & 1 \\ -2 & -6 & 1 \\ 8 & -1 & 1 \end{bmatrix} =0$ Because the determinant is zero, the three points are Collinear.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.