question_answer 26)

A vector has magnitude and direction. Does it have a location in space ? Can it vary with time ? Will two equal vectors  and  at different locations in space necessarily have identical physical effects ? Give examples in support of your answer.  

Answer:

 In addition to magnitude and direction, each vector also has a definite location in space. For example, a velocity vector has definite location at every point of uniform circular motion. A vector can vary with time. For example, increase in velocity produces acceleration. Two equal vectors  and  having different locations may not produce identical physical effects. For example, two equal forces (vectors) acting at two different points may not produce equal turning effects.