A particle is held in equilibrium by three horizontal forces. Two of the forces are (8i+6j)(8\mathbf{i} + 6\mathbf{j})(8i+6j) N and (−3i+4j)(-3\mathbf{i} + 4\mathbf{j})(−3i+4j) N, where i\mathbf{i}i and j\mathbf{j}j are perpendicular unit vectors.
The third force is F\mathbf{F}F N.
Find F\mathbf{F}F in component form.
Find the magnitude of F\mathbf{F}F.