Films · Mathematics · Dot product
Prof. Dr. Dirk Schieborn
Higher Mathematics 1 · Reutlingen University
Lecture film · Higher Mathematics 1
A Horse, a Rail, an Angle: the Dot Product
Lecture film · Higher Mathematics 1
A Horse, a Rail, an Angle: the Dot Product
Prof. Dr. Dirk Schieborn
Higher Mathematics 1 · Reutlingen University
Only the part of the force along the path does work: W = |F| · |s| · cos α. This dot product is easy to compute in coordinates, and it reveals the angle between two vectors. If it is zero, they are perpendicular.
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A Horse, a Rail, an Angle: the Dot Product
Prof. Dr. Dirk SchiebornHigher Mathematics 1 · Reutlingen UniversityAn explainer film in six chapters, made from a real lecture: a horse pulls a wagon at an angle, only the part of the force along the rail does work, and from this comes the dot product W = |F| · |s| · cos α. Plus the school formula, the angle between (1, 2, 3) and (4, 5, 6), and why a dot product of zero means perpendicular. Pause anywhere and ask.
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