AS Mathematics Vectors Section 1: Introduction to vectors Exercise level 3 (Extension) 1. (i) How can you get from the origin to the point (71, 33) using only integer 2 3 multiples of the vectors [1] and [2] ? (ii) Prove that it is possible to get from the origin to any point (p, q) where p and q are integers, using only integer multiples of these two vectors. (iii) Show that it is not possible to get from the origin to the point (71, 33) using 2 1 the points (p, q) that you can get to using integer multiples of these two vectors? 3 only integer multiples of the vectors [ J and [ 2] ? What can you say about