Edexcel Mathematics June 2023 · Paper 2 · Question 6 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2023 · Paper 2 · Question 6 · 6 marks

6. Relative to a fixed origin O, • A is the point with position vector 12i • B is the point with position vector 16j • C is the point with position vector (50i + 136j) • D is the point with position vector (22 i + 24j) (a) Show that AD is parallel to BC. (2) Points A , B, C and D are used to model the vertices of a running track in the shape of a quadrilateral. Runners complete one lap by running along all four sides of the track. The lengths of the sides are measured in metres. Given that a particular runner takes exactly 5 minutes to complete 2 laps, (b) calculate the average speed of this runner , giving the answer in kilometres per hour. (4) 13

Lesson: Vectors in 2D and 3D