Forces (5i−2j) N(5\mathbf{i}-2\mathbf{j})\text{ N}(5i−2j) N and (−i+7j) N(-\mathbf{i}+7\mathbf{j})\text{ N}(−i+7j) N act at a point, where i\mathbf{i}i points east and j\mathbf{j}j points north. A third force F\mathbf{F}F maintains equilibrium.
Find F\mathbf{F}F.
Find the magnitude and bearing of F\mathbf{F}F.