The first point

X1

Y1

Z1

The second point

X2

Y2

Z2

The distance

Distance

Use the three-dimensional distance calculator to find the distance between two points in space.

Our three-dimensional distance calculator is a tool that finds the distance between two points with given coordinates in space. If you want to determine the distance between two points on a plane (two-dimensional distance), use our distance calculator.

To find the distance between two points in a three-dimensional coordinate system, you need to apply the following formula:

`D = √[(x₂ - x₁)² + (y₂ - y₁)² +(z₂ - z₁)²]`

where:

`D`

is the distance between two points,`(x₁, y₁, z₁)`

are the coordinates of the first point,`(x₂, y₂, z₂)`

are the coordinates of the second point.

Notice that the value obtained when using this formula is always positive. This is because we consider a scalar value of distance - it does not depend on the numbering of points.

- Choose the coordinates of the first point - for example (1,1,1).
- Choose the coordinates of the second point - for example, (3,6,9).
- Input these values to the formula:

`D = √[(x₂ - x₁)² + (y₂ - y₁)² +(z₂ - z₁)²] = √[(3-1)² + (6-1)² +(9-1)²]`

- Calculate the result:

`D = √[2² + 5² +8²] = √[4 + 25 +64] = √93 = 9.643`

**Three-Dimensional Distance Calculator** can be embedded on your website to enrich the content you wrote and make it easier for your visitors to understand your message.

It is free, awesome and will keep people coming back!

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