The resultant of two forces $P$ and $Q$ acting at a point is $R$. The…

Question

The resultant of two forces $P$ and $Q$ acting at a point is $R$. The resultant $R$ gets doubled when $Q$ is either doubled or its direction is reversed. Show that $P$, $Q$ and $R$ conform to the ratio $P : Q : R = \sqrt{2} : \sqrt{3} : \sqrt{2}$

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