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.