Read each statement below carefully and state with reasons, if it is true or false.

(i) The magnitude of a vector is always a scalar.

(ii) Each component of a vector is always a scalar.

(iii) 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.

(i) True, because magnitude is a pure number.

(ii) False, each component of a vector is also a vector.

(iii) True, because the total path length is either greater

than or equal to the magnitude of the displacement vector.