Vector Generator
Generates a random 2D vector (whole-number components from -20 to 20) and computes its magnitude.
What this generator does
Produces a vector of random components, for maths practice and for filling geometry or physics test cases.
How to use this tool
- Press generate for a random vector.
Worked examples
- Example shape
- (4, -2, 7)
Common use cases
- Vector-maths teaching examples
- Placeholder data for physics or graphics demos
- Quick vector-magnitude practice
How this generator works
Components are drawn independently within your bounds and the magnitude is computed from them. Drawing the components rather than drawing a magnitude and a direction gives points uniformly distributed in a box, which is right for test data and wrong for a random direction — direction needs a different construction, and doing it this way clusters directions towards the corners.
Limitations and good to know
- Components are drawn independently, so the vector is not normalised and its direction is not uniformly distributed over the sphere.
- The magnitude is derived and rounded for display, so recomputing it from the shown components can differ in the last place.
- No units and no coordinate convention are implied.
- A zero vector is possible when the range includes zero, and it has no direction at all — normalising it divides by zero.
Related generators
- Random Polygon GeneratorSimple polygons that never cross themselves, with the shoelace area, the perimeter and a convexity check.
- Orthogonal Vector GeneratorWhole-number vectors that are exactly perpendicular, with every pairwise dot product shown as the integer zero it is.
- Random 3D Coordinate GeneratorA random three-dimensional (x, y, z) coordinate point.
- Random Angle Set GeneratorA set of three random angles in whole degrees.