Distance between (2,4,6) and (3,5,7)

Enter point 1

(x1: , y1: z1: )

Enter point 2

(x2: y2: z2: )
  

Calculate the distance between:

(2, 4, 6) and (3, 5, 7)

Also calculate the parametric and symmetric forms

Distance formula for 3-D points

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

Distance = √(3 - 2)2 + (5 - 4)2 + (7 - 6)2

Distance = √12 + 12 + 12

Distance = √1 + 1 + 1

Distance = √3

Distance = 1.7320508075689

Parametric Equation Form:

(x,y,z) = (x0,y0,z0) + t(a,b,c)

Plugging in our numbers, we get:

(x,y,z) = (2,4,6) + t(3 - 2,5 - 4,7 - 6)

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

x = 2 + t

y = 4 + t

z = 6 + t

Symmetric Equation Form:

x - x0
a
=
  
y - y0
b
=
  
z - z0
c

Plugging in our numbers, we get:

x - 2
1
=
  
y - 4
1
=
  
z - 6
1

Final Answers

Distance = 1.7320508075689
(x - 2)/1, (y - 4)/1(z - 6)/1





What is the Answer?
Distance = 1.7320508075689
(x - 2)/1, (y - 4)/1(z - 6)/1
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 points
Any three-dimensional point. Points located in R3. 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
3-dimensional points Calculator Video

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