Question

the points A and B have position vectors OA= (-2 5 ) and OB= (4 2) where O is the origin (0, 0 ). The point G lies on the line AB such that AG = 1/3AB.
Express in the form (x y )
1. the vectors AB and AG
2. the position vector OG

Answer 1

1. AB=(6,-3) AG = (2,-1)
2. OG = (0,4)

Answer 2

ok but can you show me how exactly you got the answer please