### Coordinates

The angle between two sets of Cartesian coordinates, $(x,y)$ and $(x',y')$, is $\phi$.
1. Find the relations between the unit vectors of $(x',y')$ in terms of the unit vectors of $(x,y)$.
2. For an arbitrary vector $\vec{A}$ with components $(A_x,A_y)$ in the $(x,y)$ set, find its components, $(A_{x'},A_{y'})$, in the $(x',y')$ set.