Rotate a Vector
Rotate by a specific angle. Runs entirely in your browser, so your data never leaves your device.
0 chars · 0 lines
Output
The result appears here as you type.
How to use Rotate a Vector
- 1. Paste your vector. Enter one vector per line, either 2D like (1, 0) or 3D. Each is rotated independently around the origin using the same angle and axis.
- 2. Set the angle and axis. Choose Angle in degrees for how far to rotate. For 3D vectors, also pick Axis (X, Y, or Z) to define the line the rotation turns around.
- 3. Set decimal places and wrap style. Choose Decimal places for rounding, since rotation usually produces irrational components, and pick Parentheses, Brackets, or None for how the result is displayed.
- 4. Copy the rotated vector. The output pane shows each rotated vector. Copy it into a graphics calculation, physics homework, or animation script.
When to use Rotate a Vector
Rotate a Vector turns a 2D or 3D vector by a specified angle, around the origin for 2D or around a chosen axis for 3D. Use it whenever you need a rotated coordinate without deriving the rotation matrix by hand each time.
- Checking a rotation matrix homework problem. A linear algebra or physics course has you apply a rotation matrix to a vector by hand, and confirming the result here catches sign errors in your sine and cosine terms.
- Rotating a game object's direction vector. You are prototyping a game's turning mechanic and want to see what a heading vector looks like after a 90-degree turn before implementing the rotation logic in your engine.
- Computing a rotated force in a physics problem. A mechanics problem asks for the components of a force vector after rotating the coordinate system by some angle, and this gives the rotated components directly for the next step.
- Exploring 3D rotations around each axis. You are learning how rotation about X, Y, and Z axes differently affects a 3D vector, and rotating the same starting vector around each axis in turn makes the distinction concrete.
Examples
One vector per line, rotated 90° counterclockwise
Input
(1, 0)
Output
(0.000000, 1.000000)
About the Rotate a Vector tool
Rotate a Vector does its work locally, right in the browser. Rotate by a specific angle. 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 4 settings, including Angle (degrees), Axis (3D vectors), Decimal places and Wrap, 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 Rotate a Vector cost anything?
Yes, it is completely free. All 2,658 tools on EditSafely work without an account, a subscription or usage limits.
Is it safe to paste sensitive or confidential data?
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 much text can I process at once?
There is no fixed limit. Because the work happens on your own device rather than on a shared server, the practical ceiling is your machine's memory, which comfortably handles inputs far larger than typical online tools allow.
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.