A plane flies with velocity v = (220, 90, 10) km/h. A wind is blowing out of

Question:

A plane flies with velocity v = (220, −90, 10) km/h. A wind is blowing out of the northeast with velocity w = (−30, −30, 0) km/h. Express the wind vector as a sum of vectors, one parallel to the plane’s velocity, one perpendicular to it. Is the parallel part of the wind blowing with or against the plane?

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