SOLUTION: Find a pair of vectors u, v ∈ R2 that are orthogonal with respect to the inner product, ⟨u,v⟩=3u1v1 +2u2v2 but which are not orthogonal with respect to the Euclidean inner

Algebra ->  College  -> Linear Algebra -> SOLUTION: Find a pair of vectors u, v ∈ R2 that are orthogonal with respect to the inner product, ⟨u,v⟩=3u1v1 +2u2v2 but which are not orthogonal with respect to the Euclidean inner      Log On


   



Question 1168386: Find a pair of vectors u, v ∈ R2 that are orthogonal with respect to the inner product,
⟨u,v⟩=3u1v1 +2u2v2
but which are not orthogonal with respect to the Euclidean inner product,
⟨u,v⟩=u1v1 +u2v2

Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

  u = (1,3)


  v = (2,-1)

Solved.