Mathematics · Vectors

Three-dimensional cross-product magnitude

Calculate cross-product magnitude using the displayed relationship and entered values.

Published · R0

Method and scope

|a × b| = √((ay bz − az by)² + (az bx − ax bz)² + (ax by − ay bx)²)

Use three-dimensional cross-product magnitude for educational calculation or a clearly scoped arithmetic estimate. Intended for Learners, General educational use.

Inputs
  • Vector A · x component — 1
  • Vector A · y component — 1
  • Vector A · z component — 1
  • Vector B · x component — 1
  • Vector B · y component — 1
  • Vector B · z component — 1
SOURCE AND LIMITS

Assumptions: The displayed equation is applied to the entered values in the declared units. Any financial rate is interpreted per the period stated in its input label; no jurisdiction-specific fees, taxes, or product terms are inferred.

Limitations: Review the equation, input units, assumptions, and method steps before using the result. This tool is not professional advice.

Method version 1.0.0 · Unit registry and result provenance are shown after calculation. This tool is limited to the documented scope.
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