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Euclidean distance is most commonly used as a measure of distance between two objectsGroup of answer choicesTrueFalse

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Solution

Answer

True.

Explanation

Euclidean distance is indeed the most commonly used measure of distance between two objects, especially in fields such as mathematics, computer science, and data analysis. It is defined as the straight-line distance between two points in Euclidean space. The formula for calculating the Euclidean distance between two points A(x1,y1) A(x_1, y_1) and B(x2,y2) B(x_2, y_2) in a two-dimensional space is given by:

d(A,B)=(x2x1)2+(y2y1)2 d(A, B) = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

In higher dimensions, this concept extends similarly. Due to its simplicity and intuitive geometric interpretation, it is widely adopted in various applications such as clustering algorithms, classification tasks, and more.

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