Find the resultant of three vectors $\overrightarrow {OA} ,\,\overrightarrow {OB} $ and $\overrightarrow {OC} $ shown in the following figure. Radius of the circle is $R$.
$2R$
$R(1 + \sqrt 2 )$
$R\sqrt 2 $
$R(\sqrt 2 - 1)$
Two equal forces ($P$ each) act at a point inclined to each other at an angle of $120^°$. The magnitude of their resultant is
If two forces of equal magnitudes act simultaneously on a body in the east and the north directions then
The magnitude of vectors $\overrightarrow{ OA }, \overrightarrow{ OB }$ and $\overrightarrow{ OC }$ in the given figure are equal. The direction of $\overrightarrow{ OA }+\overrightarrow{ OB }-\overrightarrow{ OC }$ with $x$-axis will be
How many minimum number of non-zero vectors in different planes can be added to give zero resultant