Edexcel Mathematics June 2019 · Paper 2 · Question 10 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2019 · Paper 2 · Question 10 · 6 marks

10. A B O Figure 7 Figure 7 shows a sketch of triangle OAB . The point C is such that OC| = 2OA|. The point M is the midpoint of AB. The straight line through C and M cuts OB at the point N. Given OA| = a and OB| = b (a) Find CM| in terms of a and b (2) (b) Show that ON| = 322λ⎛⎞−⎜⎟⎝⎠ a + 1 2Ȝb , where Ȝ is a scalar constant. (2) (c) Hence prove that ON : NB = 2 : 1 (2) 30

Lesson: Vectors in 2D and 3D