1. The problem statement, all variables and given/known data A vector in lR 3 (basis) has vector space V with the standard inner product. I need to find a vector in V which is perpendicular to both vectors v_1 = (1,2,1)^T and v_1 = (2,1,0)^T 2. Relevant equations There is no real important equations other than just using matrix and linear transformation principles. 3. The attempt at a solution My attempt has gone nowhere. I used dot product to show the two vectors are not perpendicular and that's about it. It's probably real simple but I just don't get it.