a) True
b) False
c) False
d) True
e) True
Explanation:
a) The magnitude of a vector is a number. Hence, it is a scalar.
b) Each component of a vector is also a vector.
c) Total path length is a scalar quantity, whereas displacement is a vector quantity. Hence, the total path length is always greater than the magnitude of displacement. It becomes equal to the magnitude of displacement only when a particle is moving in a straight line.
d) It is because of the fact that the total path length is always greater than or equal to the magnitude of displacement of a particle.
e) Three vectors, which do not lie in a plane, cannot be represented by the sides of a triangle taken in the same order.