- #1

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## Homework Statement

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?