The value of the sum of two vectors $\overrightarrow A $ and $\overrightarrow B $ with $\theta $ as the angle between them is
$\sqrt {{A^2} + {B^2} + 2AB\cos \theta } $
$\sqrt {{A^2} - {B^2} + 2AB\cos \theta } $
$\sqrt {{A^2} + {B^2} - 2AB\sin \theta } $
$\sqrt {{A^2} + {B^2} + 2AB\sin \theta } $
Following sets of three forces act on a body. Whose resultant cannot be zero
When $n$ vectors of different magnitudes are added, we get a null vector. Then the value of $n$ cannot be
The resultant of two vectors at an angle $150^{\circ}$ is $10$ units and is perpendicular to one vector. The magnitude of the smaller vector is ....... units
Two forces are such that the sum of their magnitudes is $18 \,N$ and their resultant is perpendicular to the smaller force and magnitude of resultant is $12\, N$. Then the magnitudes of the forces are