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
$\frac{1}{2}\,a\,\left( {\hat k - \hat i} \right)$
$\frac{1}{2}\,a\,\left( {\hat i - \hat k} \right)$
$\frac{1}{2}\,a\,\left( {\hat j - \hat i} \right)$
$\frac{1}{2}\,a\,\left( {\hat j - \hat k} \right)$
If $\vec{P}+\vec{Q}=\overrightarrow{0}$, then which of the following is necessarily true?
The vectors $5i + 8j$ and $2i + 7j$ are added. The magnitude of the sum of these vector is
Explain the analytical method for vector addition.
Two forces $F_1 = 3N$ at $0^o$ and $F_2 = 5N$ at $60^o$ act on a body. Then a single force that would balance the two forces must have a magnitude of .......... $N$