Physics - Vectors Question with Solution | TestHub

Two forces ${\bar{F}}_1$ and ${\bar{F}}_2$ 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 ${\vec{F}}_1$ and ${\vec{F}}_2$ is ${\cos }^{-1}\left(\frac{1}{n}\right)$. The value of $|n|$ is _____.