The problem is:
The unit vector that makes an angle [(2)(Pi)]/3 with the positive x-axis and it asks to find the component form of the vector.
I don't even know where to start. Any help would be great. Thanks.
We have the polar coordinates $\displaystyle r=1,\phi =120$ and we need the cartesian coordinates $\displaystyle x,y$.
$\displaystyle x=r\cos\phi =-\frac{1}{2}$
$\displaystyle y=r\sin\phi =\frac{\sqrt{3}}{2}$
So $\displaystyle \displaystyle \overrightarrow{v}=-\frac{1}{2}\overrightarrow{i}+\frac{\sqrt{3}}{2}\o verrightarrow{j}$