Question

Find the magnitude and direction of CD for the given coordinates. Round answers to the nearest tenth.
C (8, –9), D (1, –4)

Answer 1

CD = <8-1, -9-(-4)> = <7, -5>
$|CD|= \sqrt{7^2+(-5)^2} = \sqrt{74} = 8.6$
$\theta=\tan^{-1} (\frac{-5}{7})= -35.5\°$