A $2\mathrm{.}750-$kip force P is applied at point D of the cast$-$iron post shown. Replace that force with an equivalent force$-$couple system at the center A of the base section. $($Include a minus sign if necessary.$)$

A figure shows the forces applied on a cast$-$iron post.The vertical member A B of the post is along the y$-$axis. The horizontal member B D of the post is along the x$-$axis at a distance of $12$ inches above the x$-$axis. The force applied at point D has a line of action that passes through point E$.$ The coordinates, in inches, of points A$,$ D$,$ and E are point A $(0,0,0),$ point D $(6,12,0),$ and point E $(6,0,-5).$

The magnitude of the equivalent force is $($

kips$)$j $+($

kips$)$k$.($Round the final answer to three decimal places.$)$

The magnitude of the equivalent couple is $($

kip$$in$.)$i $+($

kip$$in$.)$j $+($

kip$$in$.)$k$.$