Question

What is the relationship between the distances obtained from the Minkowski distance measures when r=1, r=2 and r=infinity?

Group of answer choices

(r=1) = (r=2) = (r=infinity)

(r=1) > (r=2) > (r=infinity)

(r=1) < (r=2) < (r=infinity)

None of the above.

Answer 1

What is the relationship between the distances obtained from the Minkowski distance measures when r=1, r=2 and r=infinity?

Answer:  (r=1) < (r=2) < (r=infinity)

Reason:

r=1 means the MInkowski distance is Euclidean distance

r=2 means the MInkowski distance is called Manhattan distance

Euclidean distance gives the shortest distance between two points

Manhattan distance gives the longest distance between two points.

Similarly when there are more points the distance values increases.

So (r=1) < (r=2) < (r=infinity)