A flight controller at an airport observes two aircrafts A and B simultaneously, their position vector being respectively (10i + 20j + 5k)km and (-20i - 10j + 3k)km relative to the control tower. A, flying with a constant velocity of (-40i - 50j)km/h and B, with a constant velocity of (150i + 250j + 60k)km/h.
Find
(i). The velocity of A relative to B
(ii) The position of A relative to B, t minutes after the aircraft are observed.
(iii) The value of t, correct to the nearest 10s, when A and b are nearest to each other.
I will be anticipating on an answer, thank you!
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