To calculate the magnitude and direction of the resultant force, we first need to express each force in its component form (F = Fxi + Fyj). A force vector is given by its magnitu

To calculate the magnitude and direction of the resultant force, we first need to express each force in its component form ($\vec{F} = F_x\vec{i} + F_y\vec{j}$). A force vector is given by its magnitude multiplied by its unit direction vector.

The unit vector $\hat{u}$ for a direction vector $\vec{v} = a\vec{i} + b\vec{j}$ is $\hat{u} = \frac{a\vec{i} + b\vec{j}}{\sqrt{a^2+b^2}}$.

Force 1 ($\vec{F_1}$):
Magnitude $F_1 = 9\sqrt