Four charged particles are located at the vertices of a square of side length \(1 \mathrm{~m}\) in the \(x y\)-plane. Particles 1,2 , and 3 \((q 1=5.00 \mu \mathrm{C}, q 2=-4.00 \mu \mathrm{C}\), and \(q 3=-3.00 \mu \mathrm{C})\) are located, respectively, at \((0,0),(1 \mathrm{~m}, 0)\) and \((0,1 \mathrm{~m})\). Determine the position of particle 4 , carrying the same charge as particle 1 , such that the total electric force on particle 1 is zero.