The ding moment specifically was " OH we're making our own set of feet/inches/yards/etc out of the length of vector B" *facepalm* better explained as: vector B becomes your new 'meters' by which you define the dot product of B and A. And the reason we need it to be labelled B-hat is BECAUSE it becomes 1 'length b' which can be converted back to radical-80 "unit-1's" by which the vectors were originally measured.
First "ding" moment. 3rd day of school, I think I'm making progress.
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