Two particles are located on the \(x\) axis of a Cartesian coordinate system. Particle 1 carries a charge of \(+2.0 \mathrm{nC}\) and is at \(x=-30 \mathrm{~mm}\), and particle 2 carries a charge of \(-2.0 \mathrm{nC}\) and is at \(x=30 \mathrm{~mm}\). What are the magnitude and direction of the vector sum of the electric forces exerted by these two particles on particle 3 , which carries a charge of \(+5.0 \mu \mathrm{C}\) and is located on the positive \(y\) axis \(80 \mathrm{~mm}\) from the origin?