What is different between Euclidean distance and the Geodesic distance?

While the Euclidean distance calculates only the distance by ignoring the shape of the dataset, the geodesic distance is calculated by passing the shortest path on the dataset.

1. What is Euclidean distance?
2. What is the difference between Euclidean distance and Manhattan distance?
3. What is the difference between planar and geodesic?
4. What is Euclidean distance of vector?
5. Is geodesic a distance?
6. Is Euclidean Norm the same as Euclidean distance?

What is Euclidean distance?

In coordinate geometry, Euclidean distance is defined as the distance between two points. To find the distance between two points, the length of the line segment that connects the two points should be measured.

What is the difference between Euclidean distance and Manhattan distance?

Euclidean distance is the shortest path between source and destination which is a straight line as shown in Figure 1.3. but Manhattan distance is sum of all the real distances between source(s) and destination(d) and each distance are always the straight lines as shown in Figure 1.4.

What is the difference between planar and geodesic?

Planar distance is straight-line Euclidean distance calculated in a 2D Cartesian coordinate system. Geodesic distance is calculated in a 3D spherical space as the distance across the curved surface of the world.

What is Euclidean distance of vector?

The Euclidean distance between two vectors is defined as the square root of the sum of squares of differences between corresponding elements.

Is geodesic a distance?

A simple measure of the distance between two vertices in a graph is the shortest path between the vertices. Formally, the geodesic distance between two vertices is the length in terms of the number of edges of the shortest path between the vertices.

Is Euclidean Norm the same as Euclidean distance?

The L2 norm calculates the distance of the vector coordinate from the origin of the vector space. As such, it is also known as the Euclidean norm as it is calculated as the Euclidean distance from the origin. The result is a positive distance value.