Problem $1$:

$F_1$ and $F_2$ are given with $F_1=400.N,F_2=600.N,$ and $=60$ as shown. Determine: $$

Find the direction of cosines for $F_1$ and $F_2$;

Calculate the unit vectors $e_{F1}$ and $e_{F2}$ for $F_1$ and $F_2$;

Express $F_1$ and $F_2$ in terms of Cartesian components.