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Can the distance formula can be derived from the Pythagorean theorem?
Yes, the formula for the Euclidean distance. But not necessarily other distance metrics.
What is the distance between -2 and 3?
The Euclidean distance is sqrt[(-2 - 3)2+ (2 - -2)2] = sqrt[52+ 42] = sqrt[25 + 16] = sqrt(41) = 6.40 approx.The Euclidean distance is sqrt[(-2 - 3)2+ (2 - -2)2] = sqrt[52+ 42] = sqrt[25 + 16] = sqrt(41) = 6.40 approx.The Euclidean distance is sqrt[(-2 - 3)2+ (2 - -2)2] = sqrt[52+ 42] = sqrt[25 + 16] = sqrt(41) = 6.40 approx.The Euclidean distance is sqrt[(-2 - 3)2+ (2 - -2)2] = sqrt[52+ 42] = sqrt[25 + 16] = sqrt(41) = 6.40 approx.
What term describes all points in a plane that are the same distance from a given point in a plane?
A circle. However, that DOES depend on the Euclidean metric being used for measuring distance.
What are the similarities between euclidean and non euclidean?
nothing
What figure do you get if you join two points in cartesian plane?
You get a curve. If you join them along the shortest [Euclidean] distance between them, you get a straight line.
