VisualizingDotProductProjection_043.gh (25 kb)

🎯 Visualize the Dot Product in 3D!

Introducing a high-precision Grasshopper C# component that brings linear algebra to life. This script dynamically illustrates the dot product between two vectors using beautiful 3D arrows, a projection line, a helper plane, and live-annotated labels for both dot value and angle in degrees. Whether you’re teaching, learning, or building advanced vector models, this tool adds clarity and elegance to your geometric workflows.

✨ Perfect for:

• Math educators & students
• Computational designers
• Geometric thinkers
• Anyone who loves vector visualizations

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🧠 Summary:

This Rhino7 Grasshopper C# script computes and visualizes the dot product between two 3D vectors. It features:

• Arrows for each vector (A and B),
• Projection vector of B onto A,
• A helper plane showing the projection tip,
• Annotated dot product value and angle between the vectors.

All elements are calculated with full 3D accuracy and displayed in Rhino using dynamic curves and plane geometry, making this an elegant tool for analysis, visualization, and education.