1. The problem statement, all variables and given/known data Show that the dot product in two-dimensional space is linear: <u|(|v> + |w>) = <u|v> + <u|w> 3. The attempt at a solution I feel like I'm missing some grasp of the concept here ... I would think to just distribute the <u| and be done in that one step, but I'm being asked to prove this. Is there a reason the <u| can't simply be distributed?