A vector has magnitude and direction
(i) Does it have a location in the space?
(ii) Can it vary with time?
(iii) Will two equal vectors a and b at different locations in space necessarily have identical physical effects? Give examples in support of your answer.
(i) A vector in general has no definite location in space
because a vector remains unaffected whenever it is
displaced anywhere in space provided its magnitude
and direction do not change. However, a position
vector has a definite location in space.
(ii) A vector can vary with time e.g., the velocity vector of
an accelerated particle varies with time.
(iii) Two equal vectors at different locations in space do not
necessarily have same physical effects, e.g., two equal
forces acting at two different points on a body which
can cause the rotation of a body about an axis will not
produce equal turning effect.