Physics · LAWS OF MOTION

Three concurrent forces \( \mathbf{F}_1 \), \( \mathbf{F}_2 \), and \( \mathbf{F}_3 \) keep a particle in equilibrium. If \( \mathbf{F}_1 = 3\hat{i} - 4\hat{j}\text{ N} \) and \( \mathbf{F}_2 = -2\hat{i} + 6\hat{j}\text{ N} \), then the third force \( \mathbf{F}_3 \) is equal to:

1. A
   \( \hat{i} + 2\hat{j}\text{ N} \)
2. B
   \( -\hat{i} - 2\hat{j}\text{ N} \)
3. C
   \( -5\hat{i} - 2\hat{j}\text{ N} \)
4. D
   \( 5\hat{i} + 10\hat{j}\text{ N} \)