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add volume of parallelapiped

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Akbar Rahman 2022-05-26 22:40:01 +01:00
parent 053a3530b5
commit 70308e2285
Signed by: alvierahman90
GPG Key ID: 20609519444A1269
1 changed files with 5 additions and 1 deletions
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uni/mmme/1026_maths_for_engineering/vectors.md
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@ -121,7 +121,7 @@ vector such that the three vectors from a right handed system:
This is technically not a determinant because not all the elements are numbers but shhhhhh... This is technically not a determinant because not all the elements are numbers but shhhhhh...
### Scalar Triple Product ### Scalar Triple Product (and co-planar vectors)
\begin{align*} \begin{align*}
[ \pmb a, \pmb b, \pmb c ] &= \pmb a \cdot (\pmb b \times \pmb c) \\ [ \pmb a, \pmb b, \pmb c ] &= \pmb a \cdot (\pmb b \times \pmb c) \\
@ -211,6 +211,10 @@ $$\cos\theta = \frac{\pmb a \cdot \pmb b}{|\pmb a||\pmb b|} = \frac{a_1b_1 + a_2
$$area = |\pmb a||\pmb b|\sin\theta = |\pmb a \times \pmb b|$$ $$area = |\pmb a||\pmb b|\sin\theta = |\pmb a \times \pmb b|$$
### Volume of a Parallelepiped
$$volume = | [ \pmb a, \pmb, b, \pmb c ] |$$
### Equation of a Straight Line ### Equation of a Straight Line
A straight line can be specified by A straight line can be specified by