O, A, B and C are four points such that OA(vector) = 7a 5b, OB(vector) =

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O, A, B and C are four points such that

OA(vector) = 7a – 5b, OB(vector) = 2a + 5b and OC(vector) = 2a + 13b.

a. Find

i. AC(vector)

ii. AB(vector).

b. Use your answers to part a to explain why B lies on the line AC.

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