In the cube of side $a$ shown in the figure, the vector from the central point of the face $ABOD$ to the central point of the face $BEFO$ will be
$\frac{1}{2}\,a\,\left( {\hat k - \hat i} \right)$
$\frac{1}{2}\,a\,\left( {\hat i - \hat k} \right)$
$\frac{1}{2}\,a\,\left( {\hat j - \hat i} \right)$
$\frac{1}{2}\,a\,\left( {\hat j - \hat k} \right)$
Mark the correct statement :-
$\overrightarrow{ A }=4 \hat{ i }+3 \hat{ j }$ and $\overrightarrow{ B }=4 \hat{ i }+2 \hat{ j }$. Find a vector parallel to $\overrightarrow{ A }$ but has magnitude five times that of $\vec{B}$.
Two forces of magnitude $P$ & $Q$ acting at a point have resultant $R$. The resolved part of $R$ in the direction of $P$ is of magnitude $Q$. Angle between the forces is :
Figure shows a body of mass m moving with a uniform speed $v$ along a circle of radius $r$. The change in velocity in going from $A$ to $B$ is