At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three directions. As a result, three forces act on the ball, $\vec{F_1}$, $\vec{F_2}$, and $\vec{F_3}$ (see the drawing). The magnitudes of $\vec{F_1}$ and $\vec{F_2}$ are $F_1 = 68.0$ newtons (N) and $F_2 = 50.0$ N. Determine (a) the magnitude of $\vec{F_3}$ and (b) the angle $\theta$ such that the resultant force acting on the ball is zero.
(a) Number 61.1 Units N
(b) Number Units