Given $\displaystyle \vec{{q}}$ = $\displaystyle -{9}\vec{{i}}-{10}\vec{{j}}$ and $\displaystyle \vec{{b}}$ = $\displaystyle {8}\vec{{i}}-{2}\vec{{j}}$, find |$\displaystyle \vec{{q}}$ + $\displaystyle \vec{{b}}$| and |$\displaystyle \vec{{q}}$| + |$\displaystyle \vec{{b}}$|.

Give EXACT answers. You do NOT have to simplify your radicals!

|$\displaystyle \vec{{q}}$ + $\displaystyle \vec{{b}}$| = Preview Question 6 Part 1 of 2  
|$\displaystyle \vec{{q}}$| + |$\displaystyle \vec{{b}}$| = Preview Question 6 Part 2 of 2  

Why are these two answers different?