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This feels wrong. I love it. (sopuli.xyz)
submitted 2 weeks ago by hydroptic@sopuli.xyz to c/science_memes@mander.xyz
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[-] HexesofVexes@lemmy.world 1 points 2 weeks ago* (last edited 2 weeks ago)

Almost:

Lengths are usually reals, and in this case the diagram suggests we can assume that A is the origin wlog (and the sides are badly drawn vectors without a direction)

Next we convert the vectors into lengths using the abs function (root of conjugate multiplication). This gives us lengths of 1 for both.

Finally, we can just use a Euclidean metric to get our other length √2.

Squaring isn't multiplication by complex conjugate, that's just mapping a vector to a scalar (the complex | x | function).

this post was submitted on 30 Oct 2024
383 points (100.0% liked)

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