Bars $AC$ and $DG$ are straight and parallel to the $x$ and $y$ axes, respectively. $BE$ is a cable whose tensile force is $100$ lb $.$ For the dimensions given, determine expressions for the force the cable exerts on $B$ and the force the cable exerts on E using Cartesian vector representation. Take $x=4in.$ and $y=7in.($Round the final answers to four decimal places. Include a minus sign if necessary.$)$

The force the cable exerts on collar $B$ is $($ hat$(i)+|hat(j)+||$ hat$(k).$

The force the cable exerts on collar $E$ is $($ hat$(i)+$ hat$(j)+]hat(k).$