P$\mathrm{.}1.(35$ points$)$ For the structure on the right, set $\frac{?}{\text{b}\text{a}\text{r}}(F_{AB})=70lb\frac{\text{\&}}{b}ar(F_{AC})=60lb$ and determine:

a$)$ Determine the length of cables $AB$ and $AC.$

b$)$ Express the force $\frac{?}{\text{b}\text{a}\text{r}}(F_{AB})$ in Cartesian Vector notation.

c$)$ Determine the angle $$ between cables $AB$ and $AC.$

d$)$ Find the projected component $($scalar$)$ of the force $\frac{?}{\text{b}\text{a}\text{r}}(F_{AB})$ along the axis $AC.$

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