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Asked: 2026-05-22T12:31:28+00:00

I’m facing what looks like a simple a issue of computing a mean value

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I’m facing what looks like a simple a issue of computing a mean value (average) of vectors.
Looking around for a standard or a definition for calculating a “mean vector” for a group of vectors only taught me that this isn’t a straight forward issue so here I’m writing this question.

I have 2 Vectors:

[Amp1,theta1] &
[Amp2,theta2]

And I would say that my question is:

  1. What is a “mean vector” for 2 or more vectors (if such definition exists)?

  2. How do I compute one (I guess that If I know 1, I also got 2)?

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1 Answer

  1. Editorial Team

    The respective Cartesian vectors are

    (Amp1 * cos theta1, Amp1 * sin theta1) and

    (Amp2 * cos theta2, Amp2 * sin theta 2).

    Now add the respective coordinates and divide by the number of vectors (2) to get the (arithmetic) mean.

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