The Kronecker Delta and the 2D Permutation Symbol

The two-part interactive web demo designed to visualize fundamental concepts in linear algebra and physics. Kronecker Delta is visualized by displaying an identity matrix, where the diagonal elements match the function's definition. The demo also shows how the Kronecker Delta can be used as a selector to pick out a specific component from a vector. The size of the identity matrix can be adjusted with a slider to demonstrate the concept in different dimensions. The 2D Permutation Symbol is used to generate a vector orthogonal (perpendicular) to a given vector. Users can input the components of vector , and the demo instantly calculates and displays the resulting orthogonal vector. A small arc at the origin visually confirms the right angle between them, reinforcing that their dot product is always zero.

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