Two vectors $\overrightarrow a $ and $\overrightarrow b $ are at an angle of $60^o$ with each other. Their resultant makes an angle of $45^o$ with $\overrightarrow a $ . If $|\overrightarrow b | = 2\,units$ then $|\overrightarrow a |$ is:-
$\sqrt 3$
$\sqrt 3 - 1$
$\sqrt 3 + 1$
$\sqrt 3 / 2$
The resultant of two vectors $\vec{A}$ and $\vec{B}$ is perpendicular to $\overrightarrow{\mathrm{A}}$ and its magnitude is half that of $\vec{B}$. The angle between vectors $\vec{A}$ and $\vec{B}$ is . . . . . .
Which of the following statement$(s)$ is are correct?
What is the maximum number of rectangular components into which a vector can be split in space?
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 ........... $N$
Which one of the following pair cannot be the rectangular components of force vector of $10 \,N$ ?