Two force vectors, \(\overrightarrow{\mathbf{F}}_{1}=(3.0 \mathrm{~N}) \hat{\mathbf{x}}-(4.0 \mathrm{~N}) \hat{\mathbf{y}}\) and \(\overrightarrow{\mathbf{F}}_{2}=(-6.0 \mathrm{~N}) \hat{\mathbf{x}}+(4.5 \mathrm{~N}) \hat{\mathbf{y}}\), are applied to a particle. What third force \(\overrightarrow{\mathbf{F}}_{3}\) would make the net, or resultant, force on the particle zero?