Math

Free 3D Cross Product Calculator

Cross product and magnitude of two 3D vectors.

  • Free Forever
  • No Registration Required
  • Instant Results
  • Downloadable Reports
  • Mobile Friendly

Inputs

Result

Cross product

(-3.000, 6.000, -3.000)

Magnitude7.3485

Your result is ready.

Download your free detailed report — inputs, result, formula and explanation included.

Estimates only. Verify with a professional for consequential decisions.

  • Always Free
  • No Hidden Costs
  • No Account Required
  • Unlimited Calculations
  • Instant Reports

Short answer

Cross product and magnitude of two 3D vectors.

What is the 3D Cross Product Calculator?

Cross product and magnitude of two 3D vectors.

How does the 3D Cross Product Calculator work?

Enter the inputs above and read the result.

Formula

A×B = (AyBz−AzBy, AzBx−AxBz, AxBy−AyBx)

Variables

  • A×BVector perpendicular to both A and B

Explanation

The cross product's magnitude equals the area of the parallelogram formed by A and B.

Examples

Applications

    Advantages

      Limitations

        Common mistakes

          Tips

            Related concepts

            The 3D Cross Product Calculator sits inside the Math Calculators hub, in the geometry & shapes cluster. Length, area, volume and angle in two and three dimensions. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.

            areaperimetervolumesurface areaanglecoordinate plane

            Practical use cases and industry applications

            Understanding 3D Cross Product

            Cross product and magnitude of two 3D vectors. Within math calculators, 3d cross product belongs to the geometry & shapes cluster, where it shares terminology and assumptions with closely related tools.

            Learning how 3d cross product is calculated

            The cross product's magnitude equals the area of the parallelogram formed by A and B. Working through the variables one at a time — A×B — makes the result reproducible by hand and easier to sanity-check.

            Using 3d cross product to make a decision

            Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.

            How 3d cross product compares with related measures

            area, perimeter, volume, surface area all describe adjacent aspects of geometry & shapes. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.

            Frequently asked questions

            Related calculators

            More geometry & shapes tools

            We value your privacy

            We use cookies to run the site, remember your preferences, and — with your permission — show relevant ads and measure traffic. See our Cookie Policy.