"a hiker starts at point p and walks 2.0 kilometers due east and then 1.4 kilometers due north. the vectors in the diagram below represent these two displacements.

determine the magnitude of the hiker’s resultant displacement."

2.44 km

Explanation:

The resultant displacement of the hiker is just the hypothenuse of the right triangle whose sides are the displacements of 2.0 km east and 1.4 km north. Therefore, the magnitude of the resultant displacement can be found by using Pythagorean's theorem: