Question Wind is not just a speed — it has a direction. A push on a box is not just a number of newtons — it points somewhere. Vectors carry both magnitude and direction; scalars carry only size. In the plane we write ⟨v₁, v₂⟩ or v₁ i + v₂ j. Addition is tip-to-tail geometry; scaling stretches or flips. Unit vectors remember direction with length 1.
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Represent vectors geometrically and in components Add, subtract, and scale vectors Compute magnitude and unit vectors Distinguish vectors from magnitudes and clarify position vs free vectors
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Wind: speed + direction → a vector ⟨v₁, v₂⟩ |v| = √(v₁²+v₂²)
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