Enter point 1
Calculate the distance between:
(3, 4, 5) and (5, 6, 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 = √(5 - 3)2 + (6 - 4)2 + (7 - 5)2
Distance = √22 + 22 + 22
Distance = √4 + 4 + 4
Distance = √12
Distance = 3.4641016151378
Parametric Equation Form:
(x,y,z) = (x0,y0,z0) + t(a,b,c)
Plugging in our numbers, we get:
(x,y,z) = (3,4,5) + t(5 - 3,6 - 4,7 - 5)
(x,y,z) = (3,4,5) + t(2,2 ,2)
x = 3 + 2t
y = 4 + 2t
z = 5 + 2t
Symmetric Equation Form:
Plugging in our numbers, we get:
Final Answers
Distance = 3.4641016151378
(x - 3)/2, (y - 4)/2(z - 5)/2
You have 1 free calculations remaining
What is the Answer?
Distance = 3.4641016151378
(x - 3)/2, (y - 4)/2(z - 5)/2
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 timed = 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
3-dimensional points Calculator Video
https://www.youtube.com/watch?v=fUKmrj1YyHU
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