CSEC Mathematics · January 2005 · Paper 2 · Question 13(a)(i)

The position vector of a point P, relative to an origin O, is given as OP = [1, 1]. m = [2, 3] and n = [1, -3] are two vectors in the same plane as OP. Given that PQ = m + 2n. Calculate:

Calculate PQ, writing your answer in the form [x, y].