1. The problem statement, all variables and given/known data how do I find the basis for all vectors that are perpendicular to both v1 = (1,1,0,0) and v2 = (1,0,1,1) If it were 3-D I could find a normal vector via cross product, but in n-dimensions.... what do I do? My one thought is to arrange and solve linear homogeneous system: [v1][x] = 0 [v2][y] = 0 since RHS is the dot product of the row vector (v1 or v2) and the column [x,y]t, and for vectors to be perpendicular, their dot product should be 0. Is that correct? Thanks in advance.