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Vector Magnitude (Norm) Calculator

Calculate the magnitude of a vector.

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Result

5

Vector magnitude: 5

|v| = √(x²+y²+z²)

What Is Vector Magnitude?

The vector magnitude (norm) is the length of a vector. It is found by taking the square root of the sum of the squares of its components.

How is it calculated?

How Is It Calculated?

|v| = √(x² + y² + z²)

  1. Enter the vector components.
  2. The square root of the sum of their squares is taken.

Frequently Asked Questions

How is it found for a two-dimensional vector?
Without the z component, the formula |v| = √(x² + y²) is used.

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