Recent content by 7sqr

  1. 7

    Undergrad Determine if all vectors of form (a,0,0) are subspace of R3

    Svein thanks for that, it clears up the concept a little more.
  2. 7

    Undergrad Determine if all vectors of form (a,0,0) are subspace of R3

    Thank you guys, I really appreciate the help.
  3. 7

    Undergrad Determine if all vectors of form (a,0,0) are subspace of R3

    proving u+v let u, v ∈ W u=(a1,0,0) v= (a2,0,0) u+v = (a1+a2, 0,0) ∈ W ∴u+v ∈ W am i anywhere close to doing that right?
  4. 7

    Undergrad Determine if all vectors of form (a,0,0) are subspace of R3

    I have the feeling that it is, but I am not really sure how to start the proof. I know I have to prove both closure axioms; u,v ∈ W, u+v ∈ W and k∈ℝ and u∈W then ku ∈ W. Do I just pick a vector arbitrarily say a vector v = (x,y,z) and go from there?