Calculator for the square of the distance of 2-dimensional vectors
To perform the calculation enter the two vectors whose distance is to be calculated. Then press the button "Calculate".
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To find the distance or its square between two vectors, use the distance formula.
\(d^2=(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2\)
In the formula the \(x \) and \(y \) vectors stand for the position in a vector space.
The following example calculates the square of the distance between the points \((0, -2, 7)\) and \((8, 4, 3)\).
\(d^2=(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2\)
\(d^2=(8-0)^2 + (4-(-2))^2 + (7-3)^2\)
\(d^2=(8)^2 + (6)^2 + (4)^2\)
\(d^2=64 + 36 +16\)
\(d^2=116\)
The square of the distance between the points \((0, -2, 7)\) and \((8, 4, 3)\) is \(116\)
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