A force of $6\,N$ and another of $8\,N$ can be applied together to produce the effect of a single force of $..........\,N$

Unit vector parallel to the resultant of vectors $\vec A = 4\hat i - 3\hat j$and $\vec B = 8\hat i + 8\hat j$ will be

The vectors $\vec{A}$ and $\vec{B}$ are such that

$|\vec{A}+\vec{B}|=|\vec{A}-\vec{B}|$

The angle between the two vectors is

Find the resultant of three vectors $\overrightarrow {OA} ,\,\overrightarrow {OB} $ and $\overrightarrow {OC} $ shown in the following figure. Radius of the circle is $R$.

If the resultant of $n$ forces of different magnitudes acting at a point is zero, then the minimum value of $n$ is

Let $\overrightarrow C = \overrightarrow A + \overrightarrow B $ then