Question 2.3 (8 marks) Three aircraft (called A, B, and C) are positioned in space; the position of each aircraft is specied by three space coordinates (any, 2:), given with respect to the space station having coordinates (0,0,0). Aircraft A has xed position (2, 5, 8), and aircraft B has xed position (3, 5, 8). Write a and b for the 3-dimensional vectors pointing from the space station to A and to B, respectively. Do the following. a) Determine the distance between aircraft A and B. b) You want to place aircraft C such that the distance between B and C is the same as the distance between B and A, and such that the line through B and C is orthogonal to the line through B and A. Determine the set of all possible coordinates (c1, C2, C3) of C. Hint: your answer should be a set of triples (c1, (:2, (:3) that satisfy certain explicit equations