Geometric Demonstration of 2D Cross Product, Signed Area, and Determinant

2016-12-02 01:16
This applet demonstrates the geometric links among the 2D cross product, signed area, and 2x2 determinant. By constructing vectors and their polygon, it illustrates vector angles and the signed area of the formed parallelogram. It analyzes the determinant's geometric meaning and how its sign relates to rotational direction, offering a great visualization for linear algebra.