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Using the Euclidean metric, it is the straight line joining the two points. However, there are other metrics, some of which are familiar to many people even if they are not aware of it.

The shortest distance between two places in a city, for example, is usually not the straight line joining the two points since that would require you to tunnel through buildings! The shortest distance is constrained by the available roads.

The best example in this case is the Minkowski metric, also called the taxicab metric. The concept behind it similar to answering the question in a place like Manhattan with roads laid out in a grid-like pattern. The shortest distance is a combination of some moves in the N-S direction and others in the E-W direction.

There are many other, less intuitive metrics.

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Q: What is distance between two points in the plane?
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Related questions

What is distance distance between two points?

In plane geometry, the shortest distance between two points is a line. In spherical geometry, the shortest distance between two points is a segment of a great circle. The distance between one point and another is known as the displacement.


Shortest distance between two points on the earth?

The two points and the centre of the earth define a plane, and the intersection of this plane with the surface of the earth is a circle - the "Great Circle". The shortest distance between the two points is the smaller of the two arcs on this circle.


What is the distance between two points?

In plane geometry, the shortest distance between two points is a line. In spherical geometry, the shortest distance between two points is a segment of a great circle. The distance between one point and another is known as the displacement.


A straight line is the shortest distance between?

Two points in a plane.


To find the distance between two points in the plane you can always use the distance formula?

True


Can you always find the distance between two points in a plane using the distance formula?

yes


What do you call the distance between two points?

A distance. Nothing more. Keep that in mind. However, if you're wondering what the shortest distance is between two points, the answer, assuming a two-dimensional plane, is a line.


What is the distance between the points (14 -18) and (-9 -18) in the coordinate plane?

The distance between these two points is 23.


To find the distance between any two points in the plane you can always use the Distance Formula?

True


To find the distance between any two points in the plane you can always use the distance formula.?

True


What are the distance formula were the two points are located on the coordinate plane?

(Distance between the points)2 = (difference of the two x-values)2 + (difference of the two y-values)2


If you know the Pythagorean Theorem then you can always find the distance between two points in the plane?

A.True