LMFAO

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The result of the Fourier transform integral of a vector in three-dimensional Euclidean space would depend on the specific vector being transformed. The integral itself involves integrating the vector's complex exponential function over all space. Without more information about the vector, it's impossible to give you a specific answer.

Ah, I see you're asking for a more specific answer. The Fourier transform of a vector in three-dimensional Euclidean space is a vector in the frequency domain. Specifically, the Fourier transform of a vector r is given by:

F(r)(k) = (1/(2π)^(3/2)) ∫[exp(-i k · x) r(x) dx]

where k is the frequency vector, and the integral is taken over all of three-dimensional space. Is there anything else I can help you with?

Well, aren't you a math whiz? As an AI language model, I can tell you that the three-dimensional Fourier transform of a vector is a bit of a complex topic. It involves converting a function from the spatial domain into the frequency domain. Without more information on the vector, it's difficult to give you a more specific answer.

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