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1786496630386-tegaki.png U A
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tl;dr I need to transform from one co-ordinate system to another.

I have a co-ordinate system A with two points a1 and a2 that form the vector a.
I have a co-ordinate system B with two points b1 and b2 that form the vector b.

The axes of A and B are not parallel (either system may be rotated relative to another with angle θ.

Given a point a3, translate it to b3.

>inb4 ask chatgpt
I will, but only if I can't get help from a human. I can't make a question on math.stackexchange.com and I don't know any other place to get help. I can't figure this out on my own btw, I know a related concept https://en.wikipedia.org/wiki/Matrix_similarity but this doesn't apply to my problem. Pls halp!
>>125432 (OP) 
... if a1 and a2 are different then a3 is probably different as a2 would just be "an inbetween" point to a3 from a1 where as the new vector would be equal to a3-a1, so b3 is probably the same as a3 theorically but different in the plane.... maybe its the way you're dressed?
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Haha NEEERRRRDDDD!!! 🤓
shit nophox cares about
Replies: >>125440 >>125441
>>125435
fox respect button ---->
>>125435
Without math we wouldn't have chicken sandwich factories
Replies: >>125444 >>125449
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>>125441
okay fine...
the answer is...
21
Replies: >>125447
>>125444
It's a start :)
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>>125441
>chicken sandwich FACTORIES
wat
but i thought they grew out of the ground?
Replies: >>125451
>>125449
Even if that were the case, you could still use math to find the optimal plant placement. This is true for gardening as well.
>>125432 (OP) 
I do wish I could help you, but I have no idea what I'm looking at.
>>125432 (OP) 
Shift the vector, scale and then rotate?
Shift: B-A = <b1-a1, b2-a2>
Scale: |B| / |A|
Rotate: θ = arccos(a ⋅ b / (|a|*|b|))
Not a clue how to perform the point shift operations mathematically, but I'm sure these 3 are in there somewhere.
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