Chapter 3, Problem 30P

GO Here are two vectors:

$\stackrel{\to }{a}=\left(\text{4}.0\text{ m}\right)\hat{i} -\left(\text{3}.0\text{ m}\right)\hat{j}\text{ and }\stackrel{\to }{b}=\left(\text{6}.0\text{ m}\right)\hat{i} +\left(\text{8}.0\text{ m}\right)\hat{j}.$

What are (a) the magnitude and (b) the angle (relative to $\hat{i}$) of $\stackrel{\to }{a}$? What are (c) the magnitude and (d) the angle of $\stackrel{\to }{b}$? What are (e) the magnitude and (f) the angle of $\stackrel{\to }{a}$ + $\stackrel{\to }{b}$; (g) the magnitude and (h) the angle of $\stackrel{\to }{a}$ − $\stackrel{\to }{b}$; and (i) the magnitude and (j) the angle of $\stackrel{\to }{a}$ − $\stackrel{\to }{b}$? (k) What is the angle between the directions of $\stackrel{\to }{b}$ − $\stackrel{\to }{a}$ and $\stackrel{\to }{a}$ − $\stackrel{\to }{b}$?