Calculus 3 | 6.5: The Scalar Triple Product: Volume and Torque
Full course — free exercises, Feynman reviews, and AI-graded feedback: https://ludium.ai/courses/calculus-3 Combine a cross product with a dot product and you get a single number that measures volume. This lesson builds the scalar triple product, uses it to find the volume of a parallelepiped, and applies the cross product to torque. Key concepts covered: The scalar triple product as a single determinant Volume of a parallelepiped When a zero triple product means the vectors are coplanar Torque as r × F ━━━━━━━━━━━━━━━━━━━━━━━━ SOURCE MATERIALS The source materials for this video are from • Calculus 3 Lecture 11.4: The Cross Product
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