If the sum of two unit vectors is also a unit vector. then magnitude of their difference and angle between the two given unit vectors is ..............
$\sqrt{3}, 60^{\circ}$
$\sqrt{3}, 120^{\circ}$
$\sqrt{2}, 60^{\circ}$
$\sqrt{2}, 120^{\circ}$
The resultant of two forces $3P$ and $2P$ is $R$. If the first force is doubled then the resultant is also doubled. The angle between the two forces is ........... $^o$
The vector $\overrightarrow{O A}$ where $O$ is origin is given by $\overrightarrow{O A}=2 \hat{i}+2 \hat{j}$. Now it is rotated by $45^{\circ}$ anticlockwise about $O$. What will be the new vector?
The maximum and minimum magnitude of the resultant of two given vectors are $17 $ units and $7$ unit respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is