A person pushes a box kept on a horizontal surface with force of $100\,N$ . In unit vector notation force $\vec F$ can be expressed as ?
$100\,(\hat i + \hat j)$
$100\,(\hat i - \hat j)$
$50\sqrt 2\,(\hat i - \hat j)$
$50\sqrt 2\,(\hat i + \hat j)$
For the given vector $\vec A =3\hat i -4\hat j+10\hat k$ , the ratio of magnitude of its component on the $x-y$ plane and the component on $z-$ axis is
When the resolution of vector is required ?
A displacement vector of magnitude $4$ makes an angle $30^{\circ}$ with the $x$-axis. Its rectangular components in $x-y$ plane are .........
$ABCDEF$ is a regular hexagon and forces represented in magnitude and direction by $AB, AC,AD, AE$ and $AF$ act at $A$. Their resultant is :