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## Homework Statement

Let W be the plane

3x + 2y − z = 0 in ℝ3.

Find a basis for W perpendicular

## Homework Equations

## 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:

[0]...[1]

[1]...[0]

[2]...[3]

Apparently this is wrong, can anybody tell me what's wrong about this?