Given that $a=7\mathrm{.}5m,b=4\mathrm{.}5m,c=8\mathrm{.}5m,d=1\mathrm{.}7m,e=14\mathrm{.}0m$ and $=34.$ The force $F=91N$ is along the direction of CD$.$ Determine the moment of the force $F$ about the door hinge at A by using $r_{AD}$ and $r_{AC}.$ Note that A and B are hinges and their exact locations are shown by black dots, they are in $xy$ plane.

Find moment $M_A$ using $r_{AC}$ :

$M_A$:$1,i+{?}^{+},j+,k$

Find moment $M_A$ using $r_{AD}$ :

$M_A$:$1,i+,|j+||$ k$)N*m$