Example input
u=(1,2,3), v=(4,5,6)Free browser tool
3D Vector Calculator
Add vectors and calculate dot product, cross product, and magnitude.
a + b
Dot product
Cross product
Magnitudes
Three-dimensional vectors
The cross product is defined here for 3D vectors and returns a perpendicular vector.
Worked example and guidance
Use Vector Calculator with a checkable example
Expected output
u·v = 32 and u×v = (-3,6,-3)For the example above, the output should be read as the result of the selected linear-algebra operation under the displayed dimensions. Vector Calculator performs the browser-side transformation or calculation, but the mathematical convention, units, domain, and intended publishing format still come from your problem.
How to use it
- Enter or paste a small known matrix or vector input before using a larger real-world example.
- Choose the required options and run Vector Calculator; keep the original input available for comparison.
- Read the result together with its dimensions, operation order, and numeric precision, then copy or export only after the check passes.
Useful for
- Checking homework-sized calculations
- Preparing a verified example for teaching
- Converting table data into mathematical notation
Limits and checks
- Large matrices can be slow in a browser
- Floating-point results may need a tolerance
- A numeric answer does not establish invertibility, stability, or model validity
Vector Calculator FAQ
Does Vector Calculator upload my input?
No. The published tool runs in the browser. Avoid placing confidential material in share URLs or exported files that you later send elsewhere.
How should I verify a Vector Calculator result?
Start with the worked example, inspect the dimensions, operation order, and numeric precision, and compare one result with an independent calculation or representation.
What should I do when the input is rejected?
Reduce the input to the smallest failing matrix or vector input, check delimiters and supported syntax, then add the remaining structure back one step at a time.
Next steps
Continue after Vector Calculator
Your inputs stay in this browser. Use a related guide or reference to verify the result and reuse it correctly.
Dot Product vs Cross ProductCompare dot and cross products by output type, geometry, coordinate formulas, units, and common applications in mathematics and physics.Cross Product ComponentsCalculates the three-dimensional vector cross product.× Cross ProductRepresents the three-dimensional vector cross product.
Maintained reference
How this tool was checked
Tool documentation records what was tested, which sources define compatibility, and where the browser utility stops.
See the editorial and review policy, the source hierarchy, or submit a correction.
Continue this topic
Linear Algebra Symbols & Matrix Tools
Work with vectors, matrices, determinants, dot products, cross products, systems, and structured LaTeX.