Chapter 3, Problem 36P

Given the displacement vectors $\stackrel{\to }{A}=(3\hat{i}-4\hat{j}+4\hat{k})\text{m}$ and $\stackrel{\to }{B}=(2\hat{i}+3\hat{j}-7\hat{k})\text{m}$, find the magnitudes of the following vectors and express each in terms of its rectangular components. (a) $\stackrel{\to }{C}=\stackrel{\to }{A}+\stackrel{\to }{B}$ (b) $\stackrel{\to }{D}=2\stackrel{\to }{A}-\stackrel{\to }{B}$