Hi, so this is really a linear algebra question-- But stated how it is provided in the lecture, every point will have a positive/negative dot product based the side of the plane upon which it is compared.

*I would also just tack on here-- My understanding, at least, to start with is that all vectors are defined vis a vis the origin of the plane in question. I mean you can move to other points from there, but that is where they all begin.

How then, exactly, does a plane get defined ?

However, from the ‘intuitive’ standpoint – Seeing as we are not actually given any coordinates for the planes here, you could kind of say the ‘positive’ side always lies ‘to the left’ side of the plane-- However, that also completely depends on which direction you are drawing the plane from (i.e. which side is left/right)–

Just wondering how does this work out in practice ? Also, is there some ‘general rule’ such that, simply looking at the provided diagram, you’d know which side is ‘left’ right ?