Distance between (-1,2,-3) and (4,6,8)

Enter point 1

(x1: , y1: z1: )

Enter point 2

(x2: y2: z2: )
  

Calculate the distance between:

(-1, 2, -3) and (4, 6, 8)

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 + (6 - 2)2 + (8 - -3)2

Distance = √52 + 42 + 112

Distance = √25 + 16 + 121

Distance = √162

Distance = 12.727922061358

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 - -1,6 - 2,8 - -3)

(x,y,z) = (-1,2,-3) + t(5,4 ,11)

x = -1 + 5t

y = 2 + 4t

z = -3 + 11t

Symmetric Equation Form:

x - x0
a
=
  
y - y0
b
=
  
z - z0
c

Plugging in our numbers, we get:

x - -1
5
=
  
y - 2
4
=
  
z - -3
11

Final Answers

Distance = 12.727922061358
(x - -1)/5, (y - 2)/4(z - -3)/11





What is the Answer?
Distance = 12.727922061358
(x - -1)/5, (y - 2)/4(z - -3)/11
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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