1350 Wed 8 Jun .0. '7 (a) @100%C@' Done SE Paper1 Y12 and 18 EoY Maths Pure (8 of 9) Q ['5 18 of 20 12. A beekeeper's house is positioned such that its four walls face due west, due north, due * 9 east and due south, respectively. The vectors b = 3i + j and n = 6i + 5 j are the position vectors, in kilometres, of a beehive and a nectar-rich site, respectively, Where i and j are unit vectors due east and due north from the south-west corner of the beekeeper's house. : (3) Find the vector 2n 3b (1) : (b) Find the distance between the beehive and the nectar-rich site (2) 7 (c) Find the three-gure bearing of the beehive from the south-west corner of T the beekeeper's house (2) 3 , ((1) Given that a second nectar-rich site, s, lies on the straight line between b and n 3 km from b, nd the position vector of s in terms of b and n (2)