A displacement vector of magnitude $4$ makes an angle $30^{\circ}$ with the $x$-axis. Its rectangular components in $x-y$ plane are .........
$2 \sqrt{3}, 2$
$4 \sqrt{3}, 4$
$\frac{2}{\sqrt{3}}, 2$
$\frac{4}{\sqrt{3}}, 4$
There are four forces acting at a point $P$ produced by strings as shown in figure, point $P$ is at rest. The forces $F_1$ and $F_2$ are respectively:-
The magnitude of the $X$ and $Y$ component of $\vec A$ are $7$ and $6$ respectively. Also the magnitude of $X$ and $Y$ component of $\vec A + \vec B$ are $11$ and $9$ respectively. What is the magnitude of $\vec B$ ?
What is the maximum number of rectangular components into which a vector can be split in space?