Dot Product Calculator
Calculate the dot product of two vectors in 2D to 6D and see the component-by-component multiplication.
Dot product formula: a₁b₁ + a₂b₂ + ... + aₙbₙ
Vector A
Vector B
| Metric | Value |
|---|
Privacy: calculations run locally in your browser. No vector values are stored or transmitted.
How it works
Multiply each matching pair of components, then add all those products together.
Examples
- [1, 2, 3] · [4, 5, 6] = 32
- [1, 0] · [0, 1] = 0 (orthogonal vectors)
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 dot product?
The dot product multiplies matching vector components and adds them together, producing a single scalar value.
- Do both vectors need the same dimension?
Yes. Both vectors must have exactly the same number of components.
- What does a dot product of 0 mean?
If the dot product is 0, the vectors are orthogonal (perpendicular) when neither vector is the zero vector.
- Are calculations stored?
No. Everything runs locally in your browser.