Square of the vector distance

Online calculator for calculating the square of the distance between vectors with 2 elements

Calculate quadratic vector distance

Enter the two vectors whose distance is to be calculated. Then press the Caculate button.


Square vector distance calculator

Vector 1Vector 2Result
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Decimal places

More vector functions for 2 elements

Addition
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Scalar Multiplication
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Distance Square
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Vector functions for 3 or 4 elements

Description and formulas of the quadratic 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 stand for 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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