/sci/ - Science & Math

What the fuck does cross product even mean?
Dot product is pretty intuitive, it's just a kind of projection, the component of a vector along some other vector direction. Pretty clean and it makes sense why it even exists.
But what is a cross product? Why does it obey the right hand rule?
>inb4 i-it's just a vector whose direction is perpendicular to the plane of given vectors and whose magnitude the area of parallelogram bounded by them
Why motherfucker why

>>11143004
>Water and Ice are two different elements

>>10647370
>caffeine is not