vault backup: 2026-05-24 20:13:08
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@@ -7,7 +7,7 @@
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- triple scalar product: $$u * (v \times w) = \begin{vmatrix} u_{1} && u_{2} && u_{3} \\ u_{1} && u_{2} && u_{3} \\ u_{1} && u_{2} && u_{3} \end{vmatrix}$$
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- (can either take the determinate of the matrix or the dot product of the cross product)
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- results in a scalar
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- This is equal to the volume of the parallelepiped with the three vectors representing adjacent edges
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- This is equal to the volume of the parallelpiped with the three vectors representing adjacent edges
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- $$u * (v \times w) = (u \times v) * w $$
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- lines and planes in 3D space
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- can use 3D vectors to describe 3D lines
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