Any vector in an arbitrary direction can always be replaced by two (or three)
Parallel vectors which have the original vector as their resultant
Mutually perpendicular vectors which have the original vector as their resultant
Arbitrary vectors which have the original vector as their resultant
It is not possible to resolve a vector
The unit vector parallel to the resultant of the vectors $\vec A = 4\hat i + 3\hat j + 6\hat k$ and $\vec B = - \hat i + 3\hat j - 8\hat k$ is
If $\vec P = \vec Q$ then which of the following is NOT correct
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
Unit vector does not have any .......
Read each statement below carefully and state with reasons, if it is true or false :
$(a)$ The magnitude of a vector is always a scalar,
$(b)$ each component of a vector is always a scalar,
$(c)$ the total path length is always equal to the magnitude of the displacement vector of a particle.
$(d)$ the average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of average velocity of the particle over the same interval of time,
$(e)$ Three vectors not lying in a plane can never add up to give a null vector.