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About derive wind components u v and the formula of Resultant vector

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Dear all.

I'm a PhD student and I'm working on meteorological data.

I need to calculate the resultant vector of the wind and get it as numeric data (better than have it graphically in the plot of a wind rose). Could you please share the formula that allow me to calculate the resultant vector as in Excel sheet for example?

Do we need only the direction of the wind (not also the wind speed?).

Thank you

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