Calculator for the distance of two-dimensional vectors
To perform the calculation enter the two vectors whose distance is to be calculated. Then press the 'Calculate' button.
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To find the distance between two vectors, use the distance formula.
! In this general example, the calculation is based on vectors with 3 elements.
\(d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2}\)
In the formula the \(x \) and \(y \) vectors stand for the position in a vector space.
The following example calculates the distance between points \((0, -2, 7)\) and \((8, 4, 3)\).
\(d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2}\)
\(d=\sqrt{(8-0)^2 + (4-(-2))^2 + (7-3)^2}\)
\(d=\sqrt{(8)^2 + (6)^2 + (4)^2}\)
\(d=\sqrt{64 + 36 +16}\)
\(d=\sqrt{116} = 10,77\)
The distance between the points \((0, -2, 7)\) and \((8, 4,3)\) is \(10,77\)
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