Edexcel Mathematics June 2018 · Paper 2 · Question 2 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2018 · Paper 2 · Question 2 · 5 marks

2. Relative to a fixed origin O , the point A has position vector (2i + 3j − 4k ), the point B has position vector (4i − 2j + 3k ), and the point C has position vector (ai + 5j − 2k ), where a is a constant and a < 0 D is the point such that AB = BD. (a) Find the position vector of D. (2) Given | AC| = 4 (b) find the value of a. (3) 5

Lesson: Vectors in 2D and 3D