From 6527a5d4b01c114c45c392d5a91d01b619d7ac5f Mon Sep 17 00:00:00 2001 From: ben-jaynes <1btjaynes@gmail.com> Date: Wed, 10 Jun 2026 10:57:11 -0700 Subject: [PATCH] vault backup: 2026-06-10 10:57:11 --- Wiki/Math/Vector Basics.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Wiki/Math/Vector Basics.md b/Wiki/Math/Vector Basics.md index 4445f92..d1e137f 100644 --- a/Wiki/Math/Vector Basics.md +++ b/Wiki/Math/Vector Basics.md @@ -37,7 +37,7 @@ Used to project vector $v$ onto $u$ ![[VectorProjection.excalidraw]] ### Triple Scalar Product Find the Determinant of: -$$u * (v \times w) = \begin{vmatrix} u_{1} && u_{2} && u_{3} \\ u_{1} && u_{2} && u_{3} \\ u_{1} && u_{2} && u_{3} \end{vmatrix}$$ +$$u * (v \times w) = \begin{vmatrix} u_{1} && u_{2} && u_{3} \\ v_{1} && v_{2} && v_{3} \\ w_{1} && w_{2} && w_{3} \end{vmatrix}$$ The triple scalar product can also be found by finding the cross product of $v$ and $w$ and then taking the dot product of the resulting vector and $u$. $$u * (v \times w) = (u \times v) * w $$ The triple scalar product is equal to the volume of the parallelpiped where each vector represents one adjacent edge. \ No newline at end of file