1 The Magic Carpet Ride You are a young adventurer. Having spent most of your time in the mythical city of Oronto, you decide to leave home for the first time. Your parents want to help you on your journey, so just before your departure, they give you two gifts. Specifically, they give you two forms of transportation: a hover board and a magic carpet. Your parents inform you that both the hover board and the magic carpet have restrictions in how they operate: We denote the restriction on the hover board's movement by the vector [³]. By this we mean that if the hover board traveled "forward" for one hour, it would move along a "diagonal" path that would result in a displacement of 3 km East and 1 km North of its starting location. We denote the restriction on the magic carpet's movement by the vector [2] By this we mean that if the magic carpet traveled "forward" for one hour, it would move along a “diagonal" path that would result in a displacement of 1 km East and 2 km North of its starting location. Scenario One: The Maiden Voyage Your Uncle Cramer suggests that your first adventure should be to go visit the wise man, Old Man Gauss.