solve

7. Three points A, B and C are given by their coordinates A = (-1, 1, 2), B = (2, -1, 1) and C = (1, 0, 2). (a) Find the parametric equation of the straight line AB which passes through the points A and B. Calculate the coordinates of the point P which is on the line AB, one quarter of the way between A and B. [2 marks] (b) Calculate AB x AC. [3 marks] (c) Find the Cartesian equation for the plane containing the points A, B, C. [3 marks]