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Vector Calculator

Calculate vector operations including addition, subtraction, dot product, cross product, magnitude, and more.

Category: Calculator

Vector Calculator

Calculate various operations with vectors

Enter components separated by commas.

Enter components separated by commas.

About Vector Operations

  • Vector Addition: A + B results in a vector pointing from the origin to the point reached by traveling along A then B.
  • Vector Subtraction: A - B results in a vector pointing from the tip of B to the tip of A.
  • Dot Product: A · B = |A||B|cos(θ) gives a scalar value related to how parallel the vectors are.
  • Cross Product: A × B gives a vector perpendicular to both A and B (3D vectors only).
  • Magnitude: |A| is the length of vector A.
  • Normalize: A/|A| gives a unit vector (length 1) in the direction of A.
  • Angle: The angle between two vectors calculated using the dot product formula.