Vectors, on a circular arc

I got the diagram, not the rest
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22 Replies
iTeachChem Helper
@Apu
iTeachChem Helper
Note for OP
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Opt
Opt2w ago
Yeah, the answer is right there. Take it as complex numbers or vectors. Let OA be x component, OB be y component
Nimboi [ping if answering]
also, slapping a modulus on the given OC condition gives some weird 1 = alpha^2 + beta^2 + alpha*beta*sqrt(sqrt(3) + 2)
Opt
Opt2w ago
Don't do all that.
Nimboi [ping if answering]
hm? of what
Opt
Opt2w ago
Oh wait nvm It's AC 🤦‍♂️
SirLancelotDuLac
Well, you can do it by vectors or ...transformations?
Opt
Opt2w ago
Ok, take OA and OC as basis vectors, and express OB. Then swap stuff around to get OB 2D vectors. Just taking OA = (1,0) and OC = (0,1) works out
Nimboi [ping if answering]
ah taking examples :kekw: genuinely good idea
Opt
Opt2w ago
No, just taking basis vectors lol
Nimboi [ping if answering]
lemme try this
Opt
Opt2w ago
OB = (cos75°, sin75°) 2√2OB = (√3+1,√3-1)
Nimboi [ping if answering]
ah brilliant nice i got it
Nimboi [ping if answering]
wtf have they done
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Opt
Opt2w ago
Tf?
Nimboi [ping if answering]
yea 💀
Opt
Opt2w ago
Why dot products?
Nimboi [ping if answering]
not a clue well i will safely be ignoring that monstrosity thanks yall
Opt
Opt2w ago
Lol Do that
Nimboi [ping if answering]
+solved Opt SirLancelotDuLac
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