1. The problem statement, all variables and given/known data If x = (x1, x2) and y = (y1, y2).... Show that <x,y> = 3(x1)(y1) - (x1)(y2) - (x2)(y1) + 3(x2)(y2) 2. Relevant equations I know that to define it as an inner product space, the following must be correct: <x,y> = <y,x> a<x,y> = <ax,y> <x,y+z> = <x,y> + <x,z> <x,x> >/= 0 <x,x> = 0 therefore x=0 3. The attempt at a solution I have a fair idea what the rules above mean, however I have no clue how to apply it to the question. Help??