Comment on try fingers but hole
barsoap@lemm.ee 1 month agoDoes this help? Short of making sure that your fingers actually are mutually orthogonal.
“x,y,z” of course is an easy order you learned it in primary school, for it to make sense for the physics you need to memorise that order. The handedness is dictated by the signs of the vectors, I guess if you were to flip the sign of some natural constant the whole thing would suddenly be left-handed.
It of course is also not an explanation of why the stuff is like it is. You say handedness plus assigning things to fingers is terrible as a shorthand? Show me something better, then.
(and, yes, for some reason there’s no 3d software which uses x as the up/down axis. Whether that means that the industry has a bit of sanity left in it I’m not so sure it might be an accident).
meowMix2525@lemm.ee 1 month ago
Speak of the devil…
I know what a 3 dimensional axis looks like. Trying to make my cram my hand into a poor approximation of one does not help me personally understand fields.
I don’t know how I should be the one to come up with a better shorthand if I’m the one being taught and not understanding.
mvirts@lemmy.world 1 month ago
I think the confusing part is that the rule is presented without the problem it solves.
The problem is when you take two vectors in 3d and want to find the vector orthogonal (perpendicular) to both, you have 2 valid choices.
The right hand rule is a way to pick the same one every time if you always label the two vectors you start with consistently i.e. make your thumb vector 1, pointer vector 2, then your middle finger points the direction of a perpendicular vector that matches the handedness of the hand you used.
This matters anywhere a vector cross product is used in physics, like calculating what direction an electron feels force when moving through a magnetic field. The physics doesn’t change, but you’ll have negatives in different places when comparing results calculated with a right handed convention (coordinate system) with a left handed convention.
When checking the handedness of your coordinate system, you point your thumb and pointer finger in the positive direction of any two dimensions then check if your middle finger points in the positive direction of the third dimension.
barsoap@lemm.ee 1 month ago
There is no better one. Your hand is the only obvious, also, convenient, piece of equipment you always have at the ready that is capable of representing three mutually orthogonal vectors.There are exactly two distinct ways axes can be constructed in 3d, and your left and right hand naturally show the one or the other, try it: While making fancy fingerguns you can never have all fingers be parallel, if two pairs are parallel then the third is antiparallel. You could use fancy terms like chirality but that literally means handedness.
And if you had tried to come up with something better you’d probably have realised all that.