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Linear Combinations: Mix Two Arrows

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A linear combination is the recipe a·v₁ + b·v₂ with two scalar dials. Fix b at zero and sweep a — the output point glides along a line through the origin. Sweep both dials at once and the output paints out a region of the plane. Two non-parallel arrows span all of ℝ².

linear combinationscalar coefficientspanbasisparametric sweep
ForutsetterSpan and Linear Dependence
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