Teaching Calculus

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  • Nikolay Brodskiy
  • Alexander Brodsky

Lecture 2011.06.23 Volume of a Parallelepiped and Cross Product

YouTube Playlist

Image Title Description Files Demonstrations
Part 01 Equations in 3-space Notes
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Part 02 Volume of a parallelepiped: basic properties Notes
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Part 03 Distributivity of volume explained and used for derivation of the formula for the volume of a parallelepiped Notes
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Part 04 The formula for the volume of a parallelepiped and its basic applications Notes
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Part 05 Cramer's Rule for three variables explained geometrically Notes
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Part 06 Algebraic interpretation of the explanation of the Cramer's Rule Notes
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Part 07 Vector product: direction Notes
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Part 08 Vector product: magnitude Notes
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Part 09 Application of vector product: area of a parallelogram in 3-space Notes
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