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Enter 2 sets of coordinates in the 3 dimensional Cartesian coordinate system, (X_{1}, Y_{1}, Z_{1}) and (X_{2}, Y_{2}, Z_{2}), to get the distance formula calculation for the 2 points and calculate distance between the 2 points.

Accepts positive or negative integers, decimals and fractions.

(6 and/or 6.5 and/or 6 1/2)

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 3 dimensional plane, the distance between points (X_{1}, Y_{1}, Z_{1}) and (X_{2}, Y_{2}, Z_{2}) is given by:

To calculate the distance between 2 points, (X_{1}, Y_{1}, Z_{1}) and (X_{2}, Y_{2}, Z_{2}),

for example, (5,6,2) and (-7,11,-13), we plug our values into the distance formula:

combining terms inside parentheses we get:

\[ d = \sqrt {(-12)^2 + (5)^2 + (-15)^2} \]squaring terms we get,

\[ d = \sqrt {144 + 25 + 225} \]adding the 3 results,

\[ d = \sqrt {394} \]finally,

\[ d = 19.849433 \]**Cite this content, page or calculator as:**

Furey, Edward "3D Distance Calculator" From *http://www.CalculatorSoup.com* - Online Calculator Resource.