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Linear algebra COB matrices question

  1. Feb 13, 2013 #1
    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...

    Last edited: Feb 13, 2013
  2. jcsd
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