1. The problem statement, all variables and given/known data One of the questions on my Algebra assignment is as follows. I don't need the answers, but need to understand how the helicopter takes its coordinates. I really don't understand the question itself, not the material. An air traﬃc control tower Q records the location of planes nearby with respect to a coordinate system e1 = (1, 0, 0), e2 = (0, 1, 0), e3 = (0, 0, 1), where e3 is vertical. A helicopter R ﬂying near Q also measures the location of itself and other aircraft using the base of the tower as a base point. It measures coordinates against its own height in the direction of the vertical tower Q, its own displacement from Q, and the length l of it’s propeller blade, parallel to the ground and perpendicular its displacement as measured along the ground. If at time t the helicopter R is at (f(t), g(t), h(t)) as measured by the tower Q, ﬁnd the three coordinate vectors R is using in terms of those that Q is using. Will these always give a basis? Why? What does R think its position is? Find the change of basis matrix from R’s measurements to Q’s (for times t when it is a basis). 2. Relevant equations 3. The attempt at a solution I'm not sure where to start... Thanks!