# Vector word problems

Apply what you've learned about vectors to solve some word problems!
You might need: Calculator

### Problem

Mighty Casey hits two baseballs out of the park. The path of the first baseball can be described by the displacement (distance and direction) vector $\purple{\vec{b_1}} = 100 \hat i + 10\hat j$. The path of the second baseball can be described by the displacement vector $\blue{\vec{b_2}} = 90\hat i + (-20)\hat j$.
(Values above are given in meters.)
How much farther did the first ball travel than the second?
meters