#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

[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

[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

[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

[d0d0-b0i]

tails vector and tangle hanging out [I'm very normal and crazy about them]

they are playing viddy games :)

[mortemcatabasis]

Moonlit dock

[hedgehog-university-au]

Espio experiences one (1) urge for physical affection and instantly has a breakdown

[0dotexe]

Huge W for Mexico for decriminalizing abortion across the entire country especially since a lot of border towns rely on medical tourism to survive. I'm expecting a lot of US citizens are going to cross the border for their reproductive rights very soon.

Viva Mexico bitches.