Square of the vector distance

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

Calculate quadratic vector distance


To perform the calculation enter the two vectors whose distance is to be calculated. Then press the button "Calculate".


Square vector distance calculator

 Input
Vector 1Vector 2Result
=
Decimal places

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 \(116\)

Is this page helpful?            
Thank you for your feedback!

Sorry about that

How can we improve it?