The vector projection of a vector $3\hat i + 4\hat k$ on $Y-$axis is
$5$
$4$
$3$
$0$
Following forces start acting on a particle at rest at the origin of the co-ordinate system simultaneously${\overrightarrow F _1} = - 4\hat i - 5\hat j + 5\hat k$, ${\overrightarrow F _2} = 5\hat i + 8\hat j + 6\hat k$, ${\overrightarrow F _3} = - 3\hat i + 4\hat j - 7\hat k$ and ${\overrightarrow F _4} = 2\hat i - 3\hat j - 2\hat k$ then the particle will move
A displacement vector of magnitude $4$ makes an angle $30^{\circ}$ with the $x$-axis. Its rectangular components in $x-y$ plane are .........
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 ........... $N$
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