Solve the all parts of given question:
Question: Two boys, Joe and Sam, who are searching for buried treasure start underneath the same tree. Joe walks 12 m east and then 12 m north, while Sam walks 15 m west and then 10 m south. Both boys then stop.
Part A: Find the magnitude of the vector from Sam to Joe.
Part B: Find direction of the vector from Sam to Joe. Express the direction of this vector by specifying the angle it makes with the west- to -east direction.
Please answer with details of how you got to that answer. Thanks.