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, ˆj north, and ˆk up.
(b) How far apart are the plane and ship?