Problems: Evaluate all the vectors that span the set of all vectors on the plane $2x+3y-z=0$. Are all the vectors linearly independent? Give the explanation.
Attempt (source from my friend): This plane is 2-dimensional hence cannot be spanned by a single vector but is spanned by any set $\{p,q\}$ where $p,q\in V$ are independent.
Actually I need more explanation for this problems. Thanks for your help.