A body is at rest under the action of three forces, two of which are ${\vec F_1} = 4\hat i,\,{\vec F_2} = 6\hat j,$ the third force is
$4\hat i + 6\hat j$
$4\hat i - 6\hat j$
$ - 4\hat i + 6\hat j$
$ - 4\hat i - 6\hat j$
The vectors $\overrightarrow A $ and $\overrightarrow B$ lie in a plane. Another vector $\overrightarrow C $ lies outside this plane. The resultant $\overrightarrow A + \overrightarrow B + \overrightarrow C$ of these three vectors
Two vectors $\vec A$ and $\vec B$ have equal magnitudes. The magnitude of $(\vec A + \vec B)$ is $‘n’$ times the magnitude of $(\vec A - \vec B)$. The angle between $ \vec A$ and $\vec B$ is
If a particle moves from point $P (2,3,5)$ to point $Q (3,4,5)$. Its displacement vector be
Prove the associative law of vector addition.