Chapter 3, Problem 7PE

(a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction 40.0° north of east (which is equivalent to subtracting B from A that is, to finding $\text{R}\text{'}=\text{A}-\text{B}$ ). (b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction 40.0° south of west and then 12.0 m in a direction 20.0° east of south (which is equivalent to subtracting A from B that is, to finding $\text{R}\text{'}\text{'}=\text{B}-\text{A}=-\text{R}\text{'}$ ). Show that this is the case.