Question

Find the component form of v given its magnitude and the angle it makes with the positive x-axis llvll=3√2 and θ= 150°

Answer 1

\[
x= r\cos(\theta)\\
y= r\sin(\theta)\\
\]

Answer 2

\[
\cos (150
{}^{\circ})=-\frac{\sqrt{3}}{

2}\\

\cos (150
{}^{\circ})=\frac{1}{ 2}

\]

Answer 3

\[
x=-\frac{3}{2} \sqrt{2}
\sqrt{3}=-3
\sqrt{\frac{3}{2}}
\]

Answer 4

\[
y=\frac{3
\sqrt{2}}{2}=\frac{3}{\sqrt{2
}}
\]