add volume of parallelapiped
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@ -121,7 +121,7 @@ vector such that the three vectors from a right handed system:
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This is technically not a determinant because not all the elements are numbers but shhhhhh...
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### Scalar Triple Product
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### Scalar Triple Product (and co-planar vectors)
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\begin{align*}
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[ \pmb a, \pmb b, \pmb c ] &= \pmb a \cdot (\pmb b \times \pmb c) \\
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@ -211,6 +211,10 @@ $$\cos\theta = \frac{\pmb a \cdot \pmb b}{|\pmb a||\pmb b|} = \frac{a_1b_1 + a_2
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$$area = |\pmb a||\pmb b|\sin\theta = |\pmb a \times \pmb b|$$
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### Volume of a Parallelepiped
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$$volume = | [ \pmb a, \pmb, b, \pmb c ] |$$
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### Equation of a Straight Line
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A straight line can be specified by
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