Distance between (1,2,3) and (4,5,6) ·

27 Jun 2024, 00:00

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 = √(x2 - x1)2 + (y2 - y1)2 + (z2 - z1)2

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

Distance = √32 + 32 + 32

Distance = √9 + 9 + 9

Distance = √27

Distance = 5.1961524227066

Parametric Equation Form:

(x,y,z) = (x0,y0,z0) + 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

You have 1 free calculations remaining

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
(x1, y1, z1) and (x2, y2, z2) 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 ((x2 - x1)2 + (y2 - y1)2 + (z2 - z1)2)

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the 3-dimensional points Calculator?

3-dimensional pointsAny three-dimensional point. Points located in R3. Example: (x, y, z)distanceinterval between two points in time
d = rtequationa statement declaring two mathematical expressions are equalpointan exact location in the space, and has no length, width, or thickness