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 :

- A
$P\, tan\, \theta = Q\, tan \, \alpha$

- B
$P\, sin\, \theta = Q\, sin\, \alpha$

- C
$P\, cos\, \alpha = Q\, sin\, \theta$

- D
$P\, sin\, \alpha = Q\, sin\, \theta$

Explain resolution of vectors.

Which one of the following pair cannot be the rectangular components of force vector of $10 \,N$ ?

If two forces of $5 \,N$ each are acting along $X$ and $Y$ axes, then the magnitude and direction of resultant is

The magnitude of pairs of displacement vectors are given. Which pair of displacement vectors cannot be added to give a resultant vector of magnitude $13\, cm$?

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 ........... $N$

- [AIPMT 2008]