Chapter 1, Problem 1.38E

Given two vectors $\stackrel{\to }{A}\text{ = 4}\text{.00}\hat{i}\text{ + 7}\text{.00}\hat{j}$ and $\stackrel{\to }{B}=\text{ 5}\text{.00}\hat{i}-\text{ 2}\text{.00}\hat{j}$, (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference $\stackrel{\to }{A}-\stackrel{\to }{B}$; and (c) find the magnitude and direction of the vector difference $\stackrel{\to }{A}-\stackrel{\to }{B}$. (d) In a vector diagram show $\stackrel{\to }{A}$, $\stackrel{\to }{B}$, and $\stackrel{\to }{A}-\stackrel{\to }{B}$, and show that your diagram agrees qualitatively with your answer to part (c).