🧄Dot Cross and Triple Products

The dot product, cross product, and scalar triple product each serve a distinct purpose. The dot product provides a scalar value that measures the alignment of two vectors, while the cross product produces a new vector perpendicular to the original two. The scalar triple product, also a scalar, represents the volume of the parallelepiped formed by the three vectors. The interactive demo enhances this understanding by transforming the static problem into a dynamic learning tool. By allowing users to change input values and instantly see the results, it bridges the gap between abstract, symbolic math and concrete, numerical outcomes. This real-time feedback loop helps to solidify the theoretical concepts and makes the learning process more intuitive and engaging.

🎬Narrated Video

🎬Algebraic Cross Product vs. Geometric Lie Bracket

📎IllustraDemo

📢Visualizing Dot Cross and Triple Products

🧣Example-to-Demo

🧣Algebraic and Differential Properties of Vector Fields (AD-VF)

⚒️Compound Page

Dot Cross and Triple Products | Proof and Derivationviadean on Notion