- Business (32)
- Chemistry (9)
- Construction (19)
- Conversion (13)
- Finance (21)
- Fitness (14)
- Games (1)
- Health (14)
- Math (48)
- Other (30)
- Physics (44)
- Statistics (18)

The first point

X1

Y1

Z1

The second point

X2

Y2

Z2

The distance

Distance

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`