Two vectors $\overrightarrow a $ and $\overrightarrow b $ are at an angle of $60^o$ with each other. Their resultant makes an angle of $45^o$ with $\overrightarrow a $ . If $|\overrightarrow b | = 2\,units$ then $|\overrightarrow a |$ is:-
$\sqrt 3$
$\sqrt 3 - 1$
$\sqrt 3 + 1$
$\sqrt 3 / 2$
The vector projection of a vector $3\hat i + 4\hat k$ on $Y-$axis is
A displacement vector of magnitude $4$ makes an angle $30^{\circ}$ with the $x$-axis. Its rectangular components in $x-y$ plane are .........
Vector$\overrightarrow A $ makes equal angles with $x, y$ and $z$ axis. Value of its components (in terms of magnitude of $\overrightarrow A $) will be
$ABCDEF$ is a regular hexagon and forces represented in magnitude and direction by $AB, AC,AD, AE$ and $AF$ act at $A$. Their resultant is :