Intersection of Two Planes by Norm Prokup
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This example demonstrates the line of intersection between two planes in 3D space. It involves core mathematical concepts like plane equations, vector cross product, and 3D analytical geometry. Construction highlights include using commands such as PointIn, Line, Point, and Vector to create the intersection line and auxiliary elements. Suitable for high school and above students learning solid geometry and vector mathematics.
GeoGebra Commands & Parameters
PointIn(b) → APointIn(a) → BPointIn(c) → CLine(D, E) → LPoint(L) → FVector((x(CornerThreeD[-1, 1]), 0, 0), (x(CornerThreeD[-1, 2]), 0, 0)) → uVector((0, y(CornerThreeD[-1, 1]), 0), (0, y(CornerThreeD[-1, 4]), 0)) → vVector((0, 0, z(CornerThreeD[-1, 4])), (0, 0, z(CornerThreeD[-1, 8]))) → w