1. The problem statement, all variables and given/known data Let W be the plane 3x + 2y − z = 0 in ℝ3. Find a basis for W perpendicular 2. Relevant equations 3. The attempt at a solution I thought a basis for this plane could be generated just by letting x=0 and y=1, finding z and then doing the same thing but this time letting x=1 and y=0 and finding z. If you do that you get: ......... ......... ......... Apparently this is wrong, can anybody tell me what's wrong about this?