Mathematics (AS & A Level) · Oct / Nov 2017 · Paper 13 · Question 9

Relative to an origin O, the position vectors of the points A, B and C are given by −−→ OA = ` 8 −6 5 a , −−→ OB = ` −10 3 −13 a and −−→ OC = ` 2 −3 −1 a . A fourth point, D, is such that the magnitudes −−→ AB , −−→ BC and −−→ CD are the first, second and third terms respectively of a geometric progression. −−→ −−→ −−→

Read automatically from the paper; the printed page above is exact.