Question

Write the vector in the form a, b. If necessary round values to the nearest hundredth.

Answer 1

$\begin{gathered} |v|=41 \\ \alpha=220 \\ From\text{ the pic} \\ 220=180+\beta \\ \beta=220-180 \\ \beta=40 \\ Hence \\ sin(220)=-sin(40) \\ cos(220)=-cos(40) \\ Therefore \\ a=(41)(-cos(40)) \\ a=-31.41 \\ b=(41)(-sin(40)) \\ b=-26.35 \\ The\text{ vector is \lparen-31.41,-26.35\rparen} \end{gathered}$