A dog is so excited that they run from their bed 2m 25 degrees N of W to your bed, they then stop and turn around to run 4 m due S to where you are standing, they then run 0.4m 60 degrees N of E, only to finally run another 4m at a 45 degree angle S of E. Find the resultant vector that describes how far from the initial position the dog winds up by following the steps below:

a. Draw your vector diagram, labeling each vector and the resultant vector.

b. Separately draw each of the four vectors that will be added and find and box-in the x and y components (with appropriate signs) of each of the four vectors.

c. Use the previous work to find the resultant displacement vector and write the answer in unit vector notation.