Which of the following is independent of the choice of co-ordinate system
$\vec P + \vec Q + \vec R$
$({P_x} + {Q_x} + {R_x})\hat i$
${P_x}\hat i + {Q_y}\hat j + {R_z}\hat k$
None of these
When $n$ vectors of different magnitudes are added, we get a null vector. Then the value of $n$ cannot be
Two forces $P$ and $Q$, of magnitude $2F$ and $3F$, respectively, are at an angle $\theta $ with each other. If the force $Q$ is doubled, then their resultant also gets doubled. Then, the angle $\theta $ is ....... $^o$
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 .......... $N$
Given : $\vec A\, = \,2\hat i\, + \,p\hat j\, + q\hat k$ and $\vec B\, = \,5\hat i\, + \,7\hat j\, + 3\hat k,$ if $\vec A\,||\,\vec B,$ then the values of $p$ and $q$ are, respectively