Set Vector Cross Product
Find vectors with specific cross products. Runs entirely in your browser, so your data never leaves your device.
Output
The result appears here as you type.
How to use Set Vector Cross Product
- 1. Set the target vector. Choose Target vector, the 3D cross product you want the two generated vectors to produce, for example (0, 0, 1).
- 2. Set the decimal places. Choose Decimal places for how precisely the generated vector components are rounded in the output.
- 3. Copy the two generated vectors. The tool produces two vectors whose cross product equals your target. Copy them into a physics, graphics, or engineering calculation that needs verified inputs.
When to use Set Vector Cross Product
Set Vector Cross Product finds a pair of 3D vectors whose cross product equals a specific target vector, the reverse of the usual calculation direction. Use it whenever you need example vectors that produce a known cross product for a demonstration or test case.
- Building a physics homework example. A torque or angular momentum problem wants two force or position vectors that produce a specific cross product result, and generating them saves working backward through the cross product formula by hand.
- Testing a cross product implementation. You are validating a 3D vector math library's cross product function and want vector pairs with a precisely known result to confirm the sign and magnitude of your implementation's output.
- Constructing a normal vector example for graphics. A 3D graphics tutorial explains how surface normals come from cross products, and generating vectors that produce a specific normal, like (0, 0, 1) for a flat surface, makes the concept concrete.
- Exploring orthogonality in a linear algebra lesson. You want to demonstrate that a cross product is always perpendicular to both input vectors, and generating a pair with a known cross product gives a clean example to check that property.
Examples
Two vectors whose cross product is (0, 0, 1)
Output
(1.000000, 0.000000, 0.000000) (0.000000, 1.000000, 0.000000)
About the Set Vector Cross Product tool
Set Vector Cross Product does its work locally, right in the browser. Find vectors with specific cross products. There is no upload step, no queue and no account, and your data never travels over the network.
It belongs to the Math Tools collection on EditSafely, a set of 234 small, focused Math utilities that share the same instant, private workspace.
You can shape the output with 2 settings, including Target vector and Decimal places, and the result refreshes the moment you change one. A worked example further down the page shows exactly what the tool produces for a real input.
Running locally also makes the tool fast and dependable: results appear as you type or drop a file, there is no server outage that can take it down mid-task, and confidential data can be processed without a second thought.
Frequently asked questions
Does Set Vector Cross Product cost anything?
Yes, it is completely free. All 2,658 tools on EditSafely work without an account, a subscription or usage limits.
Does the generator send anything to a server?
No data leaves your device. The whole tool is JavaScript that runs inside your browser tab, so there is no upload, no server-side processing and no log of what you did. If you disconnect from the internet after the page loads, it keeps working.
How do I get a different result?
Run the generator again. Each run is computed fresh on your device, and any options you change are applied to the next result immediately.
Do I need to sign up or install anything?
Nothing to install and no account needed. Open the page in any up-to-date browser, including on a phone or tablet, and the tool is ready.
How do I use the result?
The output panel has a one-click copy button, and you can keep refining the input while you work; the result updates in place as you type.