With respect to a rectangular cartesian coordinate system, three vectors are expressed as
$\vec a = 4\hat i - \hat j$, $\vec b = - 3\hat i + 2\hat j$ and $\vec c = - \hat k$
where $\hat i,\,\hat j,\,\hat k$ are unit vectors, along the $X, Y $ and $Z-$axis respectively. The unit vectors $\hat r$ along the direction of sum of these vector is
A particle is moving with speed $6\,m/s$ along the direction of $\vec A = 2\hat i + 2\hat j - \hat k,$ then its velocity is
What is unit vector ? Explain.
The position vector of a particle is $\vec r = (a\cos \omega t)\hat i + (a\sin \omega t)\hat j$. The velocity of the particle is
If $A = 3\hat i + 4\hat j$ and $B = 7\hat i + 24\hat j,$the vector having the same magnitude as $B$ and parallel to $A$ is