$ABCDEF$ is a regular hexagon and forces represented in magnitude and direction by $AB, AC,AD, AE$ and $AF$ act at $A$. Their resultant is :

- A
$6\, AD$

- B
$4\, AD$

- C
$3\, AD$

- D
$2\, AD$

The projection of a vector $\vec r\, = \,3\hat i\, + \,\hat j\, + \,2\hat k$ on the $xy$ plane has magnitude

When the resolution of vector is required ?

Three forces acting on a body are shown in the figure. To have the resultant force only along the $y-$ direction, the magnitude of the minimum additional force needed is.........$N$

Find the magnitude of the unknown forces $X$ and $Y$ if sum of all forces is zero

If two forces of $5 \,N$ each are acting along $X$ and $Y$ axes, then the magnitude and direction of resultant is