Cross Product Calculator
Calculate the cross product of two 3D vectors and view the perpendicular result vector and its magnitude.
Enter two 3D vectors A = (x, y, z) and B = (x, y, z). The result is A × B.
Vector A
Vector B
| Metric | Value |
|---|
Privacy: calculations run locally in your browser. No vector values are stored or transmitted.
How it works
For vectors A = (a₁, a₂, a₃) and B = (b₁, b₂, b₃),
the cross product is:
A × B = (a₂b₃ − a₃b₂, a₃b₁ − a₁b₃, a₁b₂ − a₂b₁)
Examples
- (1, 0, 0) × (0, 1, 0) = (0, 0, 1)
- (1, 2, 3) × (4, 5, 6) = (-3, 6, -3)
When to use this tool
This tool is designed for quick, practical tasks such as everyday calculations, data formatting, or simple conversions. It is best used when you need fast results without installing software or using complex tools.
When to use
- Quick checks or one-time calculations
- Validating or converting data before using it elsewhere
- Simple tasks that do not require advanced software
When not to use
- Critical financial, legal, or medical decisions
- Large-scale or automated processing
- Situations requiring guaranteed precision beyond basic validation
Always review results before using them in important contexts.
About this tool
This tool helps you perform quick utility operations directly in your browser. It runs entirely in your browser without sending data to a server.
You can use this tool when handling simple tasks without installing additional software. The results should be interpreted as a processed output based on your input data.
FAQ
- What is a cross product?
The cross product combines two 3D vectors and returns a new 3D vector perpendicular to both input vectors.
- Does cross product work in any dimension?
This calculator is for 3D vectors. The standard vector cross product is defined in 3D.
- What does a zero cross product mean?
A zero result means the vectors are parallel, anti-parallel, or one of them is the zero vector.
- Are calculations stored?
No. Everything runs locally in your browser.