Read each statement below carefully and state with reasons, with it is true or false :
(a) The magnitude of vector is always a scalar. ltBrgt (b) Each component of a vector is alwarys 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 diveked by the time taken to cover the path ) is eigther greater or equal to the magnitude of average velocity of the particle over the same interval of time. ltbRgt (e ) three vectors not lying in a planc ecan never add up to give a null vector.

Explanation

True , because magnitude is a pure nuber.
(b) False , each component of a vector is also a vector.
(c ) True only if the particle moves along a straight line in the sam direction, otherwise false.
(d) True , because the total path length is either greater than or equal to the magnitude of the magnitude of the displacement vector.
(e) True , as they can not be represented by the three sides of a triangle taken in the same order.