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Continuum Mechanics 8 - Triple Scalar Product
Автор: Win Academia
Загружено: 2025-12-21
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What happens when you combine the Dot and Cross products? You get the Triple Scalar Product a.(bxc).
In this lecture, we move from 2D areas to 3D volumes. We demonstrate why the triple scalar product is the mathematical key to calculating the volume of a parallelepiped and why its value is identical to the Determinant of a 3x3 matrix. This concept is vital for Continuum Mechanics, as it allows us to track how a material's volume changes during deformation.
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