Cross Product Calculator

Calculate the cross product of two vectors in 3D space. Enter the components of vectors a and b to get the resulting vector perpendicular to both.

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How to use this tool?

How to Use the Cross Product Calculator

  1. Enter vector components – Fill in the ax, ay, az fields for vector a, and the bx, by, bz fields for vector b. Use any real numbers (e.g., 1, -2.5, 3.14).
  2. Click "Calculate Cross Product" – The button computes the cross product a × b.
  3. Read the results – The result vector appears in green, and the step-by-step formula is shown in blue. All values are rounded to 4 decimal places.
  4. Note: All six fields must contain valid numbers. If any field is empty or non-numeric, an error message will appear.

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Frequently Asked Questions

The cross product of two vectors a and b in 3D space results in a third vector that is perpendicular to both a and b. Its magnitude is |a||b|sinθ, where θ is the angle between them.

Enter the x, y, z components of vector a and vector b into the input fields and click 'Calculate Cross Product'. The result vector and formula breakdown will be displayed.

The calculator will show an error message asking you to enter valid numbers for all components.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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