Two forces having magnitude $A$ and $\frac{ A }{2}$ are perpendicular to each other. The magnitude of their resultant is
$\frac{\sqrt{5}\,A }{4}$
$\frac{5\,A }{2}$
$\frac{\sqrt{5}\,A ^2}{2}$
$\frac{\sqrt{5}\,A }{2}$
If the sum of two unit vectors is a unit vector, then magnitude of difference is
Two forces of magnitude $8 \,N$ and $15 \,N$ respectively act at a point. If the resultant force is $17 \,N$, the angle between the forces has to be .......
If a particle moves from point $P (2,3,5)$ to point $Q (3,4,5)$. Its displacement vector be
Magnitude of vector which comes on addition of two vectors, $6\hat i + 7\hat j$ and $3\hat i + 4\hat j$ is
The magnitude of vector $\overrightarrow A ,\,\overrightarrow B $ and $\overrightarrow C $ are respectively $12, 5$ and $13$ units and $\overrightarrow A + \overrightarrow B = \overrightarrow C $ then the angle between $\overrightarrow A $ and $\overrightarrow B $ is