Vector distance square calculator
Online calculator to calculate the square of the vector distance
The calculator on this page calculates the square of the distance between vectors with 2, 3 or 4 elements.
To calculate, select the number of elements (3 is the default). Enter the values of the two vectors. Then click on the 'Calculate' button
The value 0 is assumed for empty fields.
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Square vector distance
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 represent the position in a vector space.
Example
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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