Given two vectors and A = 4.00î + 7.00î and B = 5.00î – 2.00î,
(a) Find the magnitude of each vector;

(b) Write an expression for the vector difference A – B using unit vectors;

(c) Find the magnitude and direction of the vector difference A – B.

(d) In a vector diagram show A, B, and A – B, also show that your diagram agrees qualitatively with your answer in part (c).