Problem: A radar station locates a sinking ship at range 17.3 km and bearing 136° clockwise from north. From the same station a rescue plane is at horizontal range 19.6 km 153° clockwise from north with elevation 2.20 km. (a) Write the position vector for the ship relative to the plane letting i^ represent east j^ north and k^ up. (b) How far apart are the plane and ship?

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A radar station locates a sinking ship at range 17.3 km and bearing 136° clockwise from north. From the same station a rescue plane is at horizontal range 19.6 km 153° clockwise from north with elevation 2.20 km. (a) Write the position vector for the ship relative to the plane letting i^ represent east j^ north and k^ up. (b) How far apart are the plane and ship?