Mathematics Higher Level Robert Joinson

©Sumbooks2002Higher Level89 3 Dimensional Co-ordinates 11) Point A has co-ordinates of (7, 9, 11).Point B has co-ordinates of (1, 3, 5).What are the co-ordinates of point P, the mid point of line AB?2) a) The cube shown below has two corners of (0,0,0) and (1,0,0). What are the co-ordinates ofthe other corners?zy(0,0,0)(1,0,0)xb) The cube is moved +2 units in each direction.(i) What are the new co-ordinates of the corners?(ii) What are the co-ordinates of the centre of the cube?3) The co-ordinates of four of the corners of a cube are (0,0,0), (0,0,2), (0,2,2) and (2,2,2).What are the co-ordinates of the other corners?4) A cube has co-ordinates of (1,1,2), (5,1,2), (5,5,2), (1,5,2), (1,1,6), (5,1,6), (5,5,6) and (1,5,6).a) Write down the co-ordinates of the centres of each of it’s six faces.b) What are the co-ordinates of the centre of the cube?5) a) The cuboid shown below has four corners of (0,0,0), (5,0,0), (5,4,0), and (0,4,3). What arethe co-ordinates of the other corners?zy(0,4,3)(5,4,0)(0,0,0)x(5,0,0)b) What are the co-ordinates of the centres of each of its faces?