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Kapittel 3 · Indreproduktrominner product spaces

Projection onto a Line

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Project a vector u onto the line spanned by v. The foot of the perpendicular is proj_v(u) — the closest point. The leftover u minus its projection is orthogonal to v. proj_v(u) = (u·v / v·v) v.

projection onto a lineorthogonal decompositioninner productresidualclosest point
ForutsetterSpan and Linear Dependence
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