Melinda is taking a tour through a new city on the tour she walk there .40 miles south 0.65 miles east 0.78 miles north 1.24 miles west then 1.20 miles south at the end of the tour what is Melinda's displacement vector

The displacement vector is  

Explanation:

Taking East as positive x-axis having a unit vector and North as positive y-axis having a unit vector .

So, west and south are in negative x and negative y  directions respectively.

As she walks 0.40 miles south, 0.65 miles east, 0.78 miles north, 1.24 miles west then 1.20 miles south.

Scaling 1 mile as 1 unit vector, so 1 mile east = 1 and so on

Adding all the displacement vectors, we have

Hence, the displacement vector is  

none, its a machine

no. dot product   =0 when vecs at right angles