this post was submitted on 30 Oct 2024
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Science Memes

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This feels wrong. I love it. (sopuli.xyz)
submitted 1 month ago by [email protected] to c/[email protected]
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[โ€“] HexesofVexes 1 points 1 month ago* (last edited 1 month 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 โˆš2.

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