Two forces F̄_1 and F̄_2 are acting on a body. One force has magnitude thrice that of the other force and the resultant of the two forces is equal to…

Two forces $\displaystyle \overline{\mathrm{F}}_1$ and $\displaystyle \overline{\mathrm{F}}_2$ are acting on a body. One force has magnitude thrice that of the other force and the resultant of the two forces is equal to the force of larger magnitude. The angle between $\displaystyle \overrightarrow{\mathrm{F}}_1$ and $\displaystyle \overrightarrow{\mathrm{F}}_2$ is $\displaystyle \cos ^{-1}\left(\frac{1}{\mathrm{n}}\right)$. The value of $\displaystyle |\mathrm{n}|$ is $\displaystyle \_\_\_\_$.