Charged particles 1,2 , and (3left(q_{1}=10.0 mu mathrm{C}, q_{2}=-5.00 mu mathrm{C} ight.), and (left.q_{3}=-3.00 mu mathrm{C} ight))

Charged particles 1,2 , and \(3\left(q_{1}=10.0 \mu \mathrm{C}, q_{2}=-5.00 \mu \mathrm{C}\right.\), and \(\left.q_{3}=-3.00 \mu \mathrm{C}\right)\) are arranged in an equilateral triangle in an \(x y\) coordinate system. Particle 1 is at \((0,0)\), particle 2 at \((1.0 \mathrm{~m}, 0)\), and particle 3 at \((0.50 \mathrm{~m}, \sqrt{3} / 2 \mathrm{~m})\). Determine the magnitude and direction of the electric force exerted on particle 3 .