vault backup: 2026-05-24 20:13:08

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ben committed 2026-05-24 20:13:08 -07:00
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@@ -7,7 +7,7 @@
- triple scalar product: $$u * (v \times w) = \begin{vmatrix} u_{1} && u_{2} && u_{3} \\ u_{1} && u_{2} && u_{3} \\ u_{1} && u_{2} && u_{3} \end{vmatrix}$$
- (can either take the determinate of the matrix or the dot product of the cross product)
- results in a scalar
- This is equal to the volume of the parallelepiped with the three vectors representing adjacent edges
- This is equal to the volume of the parallelpiped with the three vectors representing adjacent edges
- $$u * (v \times w) = (u \times v) * w $$
- lines and planes in 3D space
- can use 3D vectors to describe 3D lines