Unit Vector Calculator
Calculate Normalized Vectors in 2D and 3D Space
Understanding Unit Vectors
A unit vector is a vector whose magnitude (length) is exactly 1 unit. Unit vectors are essential in mathematics and physics for describing directions without regard to magnitude.
How to Calculate a Unit Vector:
- Calculate the magnitude of the original vector using the formula: |v| = √(x² + y² + z²)
- Divide each component by the magnitude to get the unit vector components
- The resulting vector will have a magnitude of 1 while maintaining the original direction
Applications:
- Physics: Describing force directions
- Computer Graphics: Normalizing direction vectors
- Navigation: Representing compass directions
- 3D Modeling: Surface normal calculations