Three point$-$like charges are placed at the corners of an equilateral triangle as shown in the figure. Each side of the triangle has a length of $22\mathrm{.}0cm,$ and the point $(A)$ is located half way between $q_1$ and $q_2$ along the side. Find the magnitude of the electric field at point $(A).$ Let $q_1=-2\mathrm{.}70C,q_2=-3\mathrm{.}20C,$ and $q_3=+3\mathrm{.}40C.$

N$/$C