Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Section 8.7 The Cross Product - 8.7 Assess Your Understanding - Page 651: 10

Answer

$-12$

Work Step by Step

The determinant for a $ 2 \times 2$ matrix can be found as: $det = \begin{vmatrix} A & B \\ C & D \\ \end{vmatrix}=AD-BC$ As per the problem, $det=\begin{vmatrix} -4 & 0 \\ 5 & 3 \\ \end{vmatrix}=(-4)(3)-(0)(5)=-12-0=-12$
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