Distance between (1,2,3) and (4,5,6)
Enter point 1 Calculate the distance between:

(1, 2, 3) and (4, 5, 6)

Also calculate the parametric and symmetric forms

Distance formula for 3-D points

Distance = √(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} + (z_{2} - z_{1} )^{2}

Distance = √(4 - 1)^{2} + (5 - 2)^{2} + (6 - 3)^{2}

Distance = √3^{2} + 3^{2} + 3^{2}

Distance = √9 + 9 + 9

Distance = √27

Distance = 5.1961524227066

Parametric Equation Form:

(x,y,z) = (x_{0} ,y_{0} ,z_{0} ) + t(a,b,c)

Plugging in our numbers, we get:

(x,y,z) = (1,2,3) + t(4 - 1,5 - 2,6 - 3)

(x,y,z) = (1,2,3) + t(3,3 ,3)

x = 1 + 3t

y = 2 + 3t

z = 3 + 3t

Symmetric Equation Form:

Plugging in our numbers, we get:

Final Answers

Distance = 5.1961524227066 (x - 1)/3, (y - 2)/3(z - 3)/3

What is the Answer?
Distance = 5.1961524227066 (x - 1)/3, (y - 2)/3(z - 3)/3

How does the 3-dimensional points Calculator work?
Free 3-dimensional points Calculator - Calculates distance between two 3-dimensional points (x_{1} , y_{1} , z_{1} ) and (x_{2} , y_{2} , z_{2} ) as well as the parametric equations and symmetric equations This calculator has 6 inputs.

What 1 formula is used for the 3-dimensional points Calculator?
Distance =
Square Root ((x

_{2} - x

_{1} )

^{2} + (y

_{2} - y

_{1} )

^{2}
+ (z

_{2} - z

_{1} )

^{2} )

For more math formulas, check out our

Formula Dossier
What 4 concepts are covered in the 3-dimensional points Calculator?
3-dimensional points Any three-dimensional point. Points located in R^{3} . Example: (x, y, z) distance interval between two points in time d = rt equation a statement declaring two mathematical expressions are equal point an exact location in the space, and has no length, width, or thickness

Example calculations for the 3-dimensional points Calculator
(1,2,3)(4,5,6) distance between (2,4,6)(3,5,7) (-1,2,-3)and(4,6,8) distance between (3,4,5),(5,6,7)
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