Geometry & Trigonometry

Euclidean Distance

Euclidean distance is the straight-line distance between two points in Euclidean space.

Meaning

What Is Euclidean Distance?

Euclidean distance is the straight-line distance between two points in Euclidean space.

Euclidean distance is the straight-line distance between two points in Euclidean space.

Examples

Examples of Euclidean Distance

1Distance from (0,0) to (3,4) is 5.
Understand

Formula and Key Points

Formula / rule
d=√Σ(xᵢ−yᵢ)²
  • Know the definition and standard notation for Euclidean Distance.
  • Be able to recognise or compute euclidean distance in a small example.
  • Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
CSE Connection

Why This Matters in Computer Science

Used in graphics, games, robotics, computer vision, spatial algorithms and coordinate calculations. Used in nearest-neighbour search, clustering, geometry and similarity calculations.

FAQ

Euclidean Distance: Frequently Asked Questions

What is Euclidean Distance?

Euclidean distance is the straight-line distance between two points in Euclidean space.

Why is Euclidean Distance useful in computer science?

Used in graphics, games, robotics, computer vision, spatial algorithms and coordinate calculations. Used in nearest-neighbour search, clustering, geometry and similarity calculations.