Vector Magnitude Calculator
Calculate the magnitude (length) of 2D and 3D vectors quickly and easily.
Vector Magnitude:
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About Vector Magnitude
The magnitude of a vector represents its length or size, regardless of its direction. It's a fundamental concept in physics, engineering, and mathematics.
How to Calculate Vector Magnitude
For a vector with components (x, y, z), the magnitude is calculated using the Pythagorean theorem:
- 2D Vector: |v| = √(x² + y²)
- 3D Vector: |v| = √(x² + y² + z²)
Common Applications
- Physics: Calculating velocities, forces, and accelerations
- Engineering: Structural analysis and force calculations
- Computer Graphics: Determining distances and normalizing vectors
- Navigation: Computing distances and bearings