Vector Space Lab

vector-space.render

Mode: 2DVectors: 0

⟨⃗⟩

Add a vector to begin visualization

Try: [2, 3] or [1, 2, 3]

v = [x, y] or [x, y, z]

View Mode

Show Grid

Grid Size: 10

💡 Use mouse to pan/zoom

🔄 In 3D mode: drag to rotate

🧮 Vector Operations

Formula: v₁ + v₂

v₁:

v₂:

Dot: scalar = |a||b|cos(θ)

Cross: |a×b| = |a||b|sin(θ)

Proj: (a·b/|b|²)b

📐 About Vector Space Lab

Visualize vectors in 2D and 3D space. Perfect for learning linear algebra and understanding AI/ML math concepts like transformations, projections, and neural network weight matrices.

✓ Phase 1: 2D Vectors

✓ Phase 2: 3D Vectors

✓ Vector Operations

◯ Matrix Transforms (coming)