Vector Calculator - Multi-Tools

Vector Calculator

Perform various vector operations in 2D or 3D space.

Select Operation
Select Dimension
Vector 1
Vector 2
Vector Visualization
How it works

Vector operations are performed component-wise:

  • Addition: (a₁, a₂) + (b₁, b₂) = (a₁ + b₁, a₂ + b₂)
  • Subtraction: (a₁, a₂) - (b₁, b₂) = (a₁ - b₁, a₂ - b₂)
  • Dot Product: (a₁, a₂) · (b₁, b₂) = a₁b₁ + a₂b₂
  • Cross Product (3D): (a₁, a₂, a₃) × (b₁, b₂, b₃) = (a₂b₃ - a₃b₂, a₃b₁ - a₁b₃, a₁b₂ - a₂b₁)
  • Angle: θ = arccos((a·b)/(|a||b|))

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