a negative number times a negative number should be a negative number
we've gotten this wrong and now it's fucked up the rest of math.
first, think about what something being negative means. it means that it's in a different direction, in the case of traditional negative numbers, the exact opposite direction as the traditional number line.
how do we describe things going in different directions? vectors. what happens when you multiply two vectors going in the same direction? they become a vector that's even stronger in the current direction, they don't change to the opposite one, because that doesn't make any goddamned sense.
this also gets rid of the problem of negative numbers not having square roots.
Brody Parker
holy moley o l y
m o l e y
Consider the ground, BROKEN
Brody Taylor
If two vectors are negative they're both positive. Just flip the axis.
Sebastian Morris
>what happens when you multiply two vectors going in the same direction? they become a vector that's even stronger in the current direction No. The result is zero. Get your facts right kiddo.
Asher Nguyen
scalars aren't vectors tho my dude
Charles Long
>first, think about what something being negative means. it means that it's in a different direction, in the case of traditional negative numbers, the exact opposite direction as the traditional number line. So if you have two negatives, you've reversed twice, so the net is you haven't changed direction. >how do we describe things going in different directions? vectors. what happens when you multiply two vectors going in the same direction? they become a vector that's even stronger in the current direction, they don't change to the opposite one, because that doesn't make any goddamned sense. This is wrong. The vector product ends up being perpendicular to both vectors you started with. >this also gets rid of the problem of negative numbers not having square roots. So what's the square root of -1 in your theory?
Nathan Reyes
>what happens when you multiply two vectors going in the same direction? they become a vector that's even stronger in the current direction you got it wrong, that's addition you're describing. multiplication corresponds to scaling AND reflection through the origin, when the coefficient is negative. what happens when you flip through the origin twice ? that's right motherfucker, you come back where you started. that's why negative*negative = positive. >this also gets rid of the problem of negative numbers not having square roots. there's no problem with that
Luke Bennett
>So if you have two negatives, you've reversed twice, so the net is you haven't changed direction. Sounds quite logical.... spinors are such bitches
Jacob Lewis
(-1)×(-1) = (-1)×(-1)+(1-1) = [(-1)×(-1)-1]+1 = (-1)×[1-1]+1 = (-1)×[0]+1 (-1)×(-1) = 1 There ya go bud, consequence of the axioms of R.
Elijah Johnson
I have two (positive) accounts that are in deby by 2 monies (-2). I can write this as 2 x (-2). How much money do I have?
I get rid of those two accounts now. The change can be written mathematically as: (-2)x(-2). How has my balance changed?
Brayden Richardson
this is how my teacher explained this concept to us in the first year of high school;
if you face forward, that'll represent a positive number. if you face backwards, that'll represent a negative number.
Now if you we walk forward that'll represent multiplying it by a positive number. and if we walk backwards that'll represent multiplying by a negative number.
Well, which direction do you go if you face backwards and walk backwards?, that's right, the same direction as multiplying a positive number by a positive number.
Liam Green
It's probably a trolling but I would like to explain why -5 x -5 is positive, not negative. So, you are somewhere at minus scale - going left from 0. Someone says "keep going few times more". You'll be going to the left side and you'll end at let's say -25 (5 times). It's cool and easy. But now think "do the same but opposite". So you will start going to the right side. That's why minus times minus means positive. You're repeating but in opposite way.
David Lewis
I'll wait.
Brandon Torres
I'm still waiting. It seems like Veeky Forums has been cucked again.
Carson Cruz
>first, think about what something being negative means. it means that it's in a different direction, in the case of traditional negative numbers, the exact opposite direction as the traditional number line. what you are imagining is
[math]-(x*x)[/math]
not
[math]-x*-x)[/math]
Wyatt Smith
Then what should be (-x)*(-x)?
Colton Watson
Just want to say that's an awesome pic OP
Jack Harris
7 + (-42) = -35 spaces in total Wow, how are you fitting 42 empty spaces and 7 filled spaces into 35 'empty' spaces? What kind of witchcraft is this?
Dylan Morris
So like a robot pinball machine is playing a pinball machine, isn't this basically pinball machine foreplay?
Hunter Kelly
>a negative number times a negative number should be a negative number no. a - a = 0 -> -a - (-a) = 0 -> a = -(-a)
Colton Murphy
-1 is a rotation of pi -1 composed with -1 is 2 rotations of pi, or one rotation of 2pi which is in the same equivalence class as the identity, 1
Sebastian King
Must be an American high school, regular people learn this in grade 5
Bentley Campbell
Telling a retard who can't figure out (-1)*(-1) about Euler s identity, kek.
Daniel White
49
Xavier Martin
> negative vectors multiply to give a negative vector You have to be 18+ to use this website.
