On the coordinate plane, take point $\mathrm { A } ( 2,0 )$, and on the circle centered at origin O with radius 2, take points $\mathrm { B } , \mathrm { C } , \mathrm { D } , \mathrm { E } , \mathrm { F }$ such that points $\mathrm { A } , \mathrm { B } , \mathrm { C } , \mathrm { D } , \mathrm { E } , \mathrm { F }$ are the vertices of a regular hexagon in order. Here, B is in the first quadrant.
(1) The coordinates of point B are (ア ア (ア $)$, and the coordinates of point D are $( -$ ウ, $0 )$.
(2) Let M be the midpoint of segment BD, and let N be the intersection of line AM and line CD. We want to find $\overrightarrow { \mathrm { ON } }$.
$\overrightarrow { \mathrm { ON } }$ can be expressed in two ways using real numbers $r, s$: $\overrightarrow { \mathrm { ON } } = \overrightarrow { \mathrm { OA } } + r \overrightarrow { \mathrm { AM } } , \overrightarrow { \mathrm { ON } } = \overright