3
\includegraphics[max width=\textwidth, alt={}, center]{5b10afa1-1c45-4370-a0e6-ad8fd626df9a-3_638_839_269_653}
Three coplanar forces of magnitudes \(5 \mathrm {~N} , 8 \mathrm {~N}\) and 8 N act at the origin \(O\) of rectangular coordinate axes. The directions of the forces are as shown in the diagram.
- Find the component of the resultant of the three forces in
(a) the \(x\)-direction,
(b) the \(y\)-direction. - Find the magnitude and direction of the resultant.