Just to clarify a point, in my previous post I mentioned a "small headwind component". Strictly speaking, given that wind and track are at right angle, there is neither head- nor tailwind, in this case. What I meant is that, given that wind and track are at right angle, the remaining side of the triangle, HDG/TAS, will always be longer than theTR/GS side, i.e. the True Air Speed will always be higher than the Ground Speed.
Is anybody still awake there? Well, I've finished now

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Deeday