(a) $\overrightarrow{F_{1}} = F_{1}\widehat{j};\overrightarrow{\ F_{1}} \times \overrightarrow{F_{2}}$ is equal to zero only I angle between $\overrightarrow{F_{1}}$ and $\overrightarrow{F_{2}}$ is either $0{^\circ}$ or 180${^\circ}$. So $\overrightarrow{F_{2}}$ will be 4$\widehat{j}$.