#vector normalization

[jaevy]

Normalize this, normalize that, why don’t you calm the fuck down about normalizing shit and start normalizing this vector. Your linear algebra homework is due tonight and you haven’t even started it.

Ok so let’s say we have vector a. First let’s see if it’s a unit vector, which has a magnitude of 1. If it’s a unit vector, there’s no need to normalize; it’s already normalized.

In order to calculate vector a’s magnitude you need to square root the dot product of vector a with itself. This means you would need to sum up the square of each entry (i.e. 3^2 + 1^2 + 2^2 + (sqrt2)^2), then find the square root of that summation. It’s kind of like the pythagorean theorem but with more than just an a^2 and a b^2

So like yeah you just kinda add up all that stuff but from there you should get the square root of 16 (4), which is not equal to 1. Therefore vector a is NOT a unit vector and you need to normalize it.

To normalize vector a, you just divide each of its entries by the magnitude of vector a. So instead of a 3, it should be 0.75, and instead of a 1, it should be 0.25. That way, when you calculate the magnitude of that new vector, its magnitude should be equal to 1.

[dunkinbublin]

i got some interest on how i drew vector before so i thought it be cool to post some dedicated notes on him

[peace-hunter]

"can megatron see the ghosts?" sometimes :)

haunted au

[nectardraws]

normal morning for Gertrude

sometimes you have to do some dangerous sleuthing to find out and stop a Fear ritual, other times you literally see a Lukas ad in the paper and all you need to do is make a quick phone call

[razztazzel]

Guys I love bees

Runner up

Don’t kill me AAGGHH (based on my general like of the bee not like… in game stat wise)

[kittkattys]

The flower 🌹

also he's alive

[houndbites]

This Guy!!!

[tezzbot]

Was thinking abt the fact that IF Vector and Espio found Charmy when he was a baby, taking their "canon" ages into account, Vector would have been like mid-teens and Espio like. a preteen at the time and I love a good 'You're the age I was when we met/I did [X]/etc.' Soooo woe! That upon you Espio, it's always fucked up and evil the passage of time LOL

[sharks3ye]

Malewife and girlboss goals

[sug01s3al]

Your sonic fanart is cool, but can you draw vector sometime? No reason, I just really like crocodiles.

ye sure here u go

I'm joking, I love Vector- team Chaotix was my main on Sonic Heros

[paradimeart]

prowl has 0 idea what goes on in protoform development these days

(V.S. = vector sigma)

[negativespace06]

vanilla my good friend vanilla

[lyingbattery]

knuckles realtalk

inspired by this line of dialogue

also that one ed edd n eddy quote

[elf-simp]

Respite/Return.

[sonknuxadow]

i dont think i actually want a canon answer to this because its kinda fun not knowing everything about every sonic characters' life and getting to fill in the gaps myself but i do wonder how vector espio and charmy met because i feel like thats the sort of thing that has to have a Story behind it beyond just oh they met and became friends one day and now theyre teammates

[jackotothemax]

oh my god this is atrocious (CW: Gen AI)

YouTube added this weird ass tab to YouTube Studio that uses Gen AI to make """"Inspiration"""" for you based on your previous videos however... I make a wide variety of stuff over several fandoms, notably pjsk and Castoff so YouTube thinks that this

is a viable option for me

I hope they realize that 1. Castoff is not an anime (as much as I want it to have a show adaptation) 2. how is this medium interest. i don't know how many people are muti fandom in Castoff and pjsk but it's definitely not enough for "medium interest" uh oh!!! it gets WORSE

first of all, fuck you for saying that Castoff content is "very low interest" i have you know that it's an amazing comic that, if given the exposure by YOU, would be extremely popular second of all, there's so much fucking wrong with what you're trying to say - Castoff is not a song. not at all. not even close. - "Arianna Thinks" is not a youtube channel. That's taken from a title for an animation I made - these thumbnails are ass. i would never click on these in my life. why would you think that anyone in the Castoff fandom would click on ai slop. this is content farm type stuff. GOD I am so angry that YouTube encourages people to make AI slop I just hope that one day it just explodes and we can all live together gayly