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Angle Between Vectors Calculator

Find the angle between two vectors.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

This calculator finds the angle between two vectors in 3D space using the dot product formula: cos θ = (a·b) / (|a||b|). Enter the x, y, and z components of each vector to get the angle in degrees.

Physics and engineering students use it to check force diagrams and torque problems, while programmers working on 3D graphics or robotics use the same formula to detect the angle between surface normals, camera directions, or joint orientations.

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