Two forces are applied to a hook.

Values for the figure are given in the following table. Note the figure may not be to scale.

$\begin{array}{cc}\text{V}\text{a}\text{r}\text{i}\text{a}\text{b}\text{l}\text{e}& \text{V}\text{a}\text{l}\text{u}\text{e}\\ F_1& 480N\\ F_2& 630N\\ {}_1& 25\text{d}\text{e}\text{g}\text{r}\text{e}\text{e}\text{s}\\ {}_2& 115\text{d}\text{e}\text{g}\text{r}\text{e}\text{e}\text{s}\\ {}_3& 50\text{d}\text{e}\text{g}\text{r}\text{e}\text{e}\text{s}\end{array}$

a$.$ Write each force $(F_1,F_2)$ as cartesian vectors.

b$.$ Find the resultant force vec$(F{)}_R,$ express as a cartesian vector

c$.$ Find the magnitude of the resultant force $F_R$

d$.$ Determine the coordinate direction angles of the resultant force vec$(F{)}_R$

i$.$

ii$.$

iii. $$