Halliday, Resnick & Walker — Force and Motion-I: Problem 4

4 A particle is to move along a line at the constant velocity \(\vec{v} = (2 \text{ m/s})\hat{i} - (3 \text{ m/s})\hat{j}\). During the motion of the particle, we assume that two forces are acting on it. If one of the forces is \(\vec{F}_1 = (2 \text{ N})\hat{i} + (-5 \text{ N})\hat{j}\), find the other force.