3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{ba698f74-a51c-409a-a9d9-e9080fc87be2-05_520_730_264_607}
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\caption{Figure 1}
\end{figure}
Two forces \(\mathbf { P }\) and \(\mathbf { Q }\) act on a particle at a point \(O\). Force \(\mathbf { P }\) has magnitude 6 N and force \(\mathbf { Q }\) has magnitude 7 N . The angle between the line of action of \(\mathbf { P }\) and the line of action of \(\mathbf { Q }\) is \(120 ^ { \circ }\), as shown in Figure 1.
The resultant of \(\mathbf { P }\) and \(\mathbf { Q }\) is \(\mathbf { R }\).
Find
- the magnitude of \(\mathbf { R }\),
- the angle between the line of action of \(\mathbf { R }\) and the line of action of \(\mathbf { P }\).