Show that the dot product in two-dimensional space is linear:
<u|(|v> + |w>) = <u|v> + <u|w>
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?