Question

Find the magnitude and direction of -A+B where A=(23.0,59.0) , B = ( 90.0, -150.0 )

Answer 1

The resulting vector $\bold{C} = \bold{B} - \bold{A} = (67.0, -209.0)$ . The magnitude of this vector is $\| \bold{C} \| = \sqrt{67^2 + 209^2} \approx 219.48$. The angle between $\bold{C}$ and x-axis is $\theta = \arctan \frac{-209.0}{67.0} \approx -72.2 ^\circ$ ($72.2^\circ$ clockwise from the East direction).