Download your Word document
3D Vector Cross Product result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
3D Vector Cross Product — result sheet
Calculate the cross product and magnitude of two three-dimensional Cartesian vectors.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: A x B = (AyBz - AzBy, AzBx - AxBz, AxBy - AyBx).
The cross product returns a vector perpendicular to both input vectors. Its direction follows the right-hand rule and its magnitude equals the parallelogram area spanned by the two vectors.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Vector A x — minimum -1000000; maximum 1000000
- Vector A y — minimum -1000000; maximum 1000000
- Vector A z — minimum -1000000; maximum 1000000
- Vector B x — minimum -1000000; maximum 1000000
- Vector B y — minimum -1000000; maximum 1000000
- Vector B z — minimum -1000000; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Vector A x | 1 |
| Vector A y | 2 |
| Vector A z | 3 |
| Vector B x | 4 |
| Vector B y | 5 |
| Vector B z | 6 |
A x B = (-3, 6, -3); magnitude 7.34847.
Assumptions and limits
- Both inputs are Cartesian three-dimensional vectors.
- Components use a common coordinate basis and unit.
- The result does not infer a coordinate-system orientation beyond the standard right-hand convention.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
No saved result was found. Please run the calculation first, then choose Download again.