If two forces of $5 \,N$ each are acting along $X$ and $Y$ axes, then the magnitude and direction of resultant is
$5\sqrt 2 ,\,\,\pi /3$
$5\sqrt 2 ,\,\,\pi /4$
$ - 5\sqrt 2 ,\,\,\pi /3$
$ - 5\sqrt 2 ,\,\,\pi /4$
Which one of the following pair cannot be the rectangular components of force vector of $10 \,N$ ?
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
Two forces $P + Q$ and $P -Q$ make angle $2 \alpha$ with each other and their resultant make $\theta$ angle with bisector of angle between them. Then :