The angle between vectors $\vec a$ and $\vec b$ is $\frac{\pi }{6}$. The angle between vectors $ - 3\vec a$ and $ 2\vec b$ is
$\frac{\pi }{3}$
$\frac{\pi }{2}$
$\frac{7\pi }{6}$
$\frac{5\pi }{6}$
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 plane covers $500 \,m$ in direction $60^o$ with run-way while starting the flight. Find the distance covered by plane in horizontal and vertical direction.
When it is needed to use vector ?
$100$ coplanar forces each equal to $10 \,N$ act on a body. Each force makes angle $\pi /50$ with the preceding force. What is the resultant of the forces.......... $N$
A physical quantity which has a direction