A person standing at a fixed origin O observes an insect taking off from a point A on level horizontal ground. The position vector of the insect r metres, t seconds after taking off, is given by: r = (t + 1)i + (2t + 1/2)j + 2tk All distances are in metres and the coordinates axes Ox ,Oy,Oz are oriented due east, due north and vertically upwards, respectively. a) Find ... i. the bearing of the insect's flight path. ii. ... the angle between the flight path and the horizontal ground. The roof top of a garden shed is located at B (5, 9/2,3) b) Calculate the shortest distance between the insect's path and the point B. When the insect reaches a height of 20 metres above the ground, at the point C, the insect gets eaten by a bird. c) Determine the coordinates of C.