Consider the points on the Cartesian plane A(c, a), B(d, b) . Compute the gradients 0A and DB (1 mark) ii. Find the co-ordinates of P(x,y) making...

Consider the points on the Cartesian plane A(c, a), B(d, b) .i. Compute the gradients 0A and DB (1 mark) ii. Find the co-ordinates of P(x,y) making OAPB a parallelogram (3 marks) iii. Give an interpretation for the gradient OP in terms of the gradients 0A and OB(1 mark) iv. Compute the gradient AB and consider the case when it is perpendicular to GP.Show then that the parallelogram becomes a rhombus. (3 marks)