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

Calculate the distance between: (2, 4, 6) and (3, 5, 7) Also calculate the parametric and symmetric forms Distance = (x2 - x1)2 + (y2 - y1)2 + (z2 - z1)2 Distance = (3 - 2)2 + (5 - 4)2 + (7 - 6)2

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Enter point 1

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:

Plugging in our numbers, we get:

Final Answers

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

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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 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

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)
  • 3-dimensional points Calculator Video

    https://www.youtube.com/watch?v=fUKmrj1YyHU


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