Read each statement below carefully and state with reasons, with it is true or false :
(a) The magnitude of 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 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.

Explanation

(a) True, because the magnitude of a vector is always a scalar .
(b) False , because each and every component of a vector is a vector
False , it is true only when the particle is moving in s straight line.
(d) True, because total path lenght is either grater than or equal to the magnitude of the displacement .
(e) True, if the resultant of two vector does not lie in the plane of third vector , then the vetors cannot be cancelled out to given a null vector.