Enter point 1
Calculate the distance between:
(1, 2, 3) and (7, 5, 5)
Also calculate the parametric and symmetric forms
Distance formula for 3-D points
Distance = √(x2 - x1)2 + (y2 - y1)2 + (z2 - z1)2
Distance = √(7 - 1)2 + (5 - 2)2 + (5 - 3)2
Distance = √62 + 32 + 22
Distance = √36 + 9 + 4
Distance = √49
Distance = 7
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(7 - 1,5 - 2,5 - 3)
(x,y,z) = (1,2,3) + t(6,3 ,2)
x = 1 + 6t
y = 2 + 3t
z = 3 + 2t
Symmetric Equation Form:
Plugging in our numbers, we get:
Final Answers
Distance = 7
(x - 1)/6, (y - 2)/3(z - 3)/2
You have 2 free calculationss remaining
What is the Answer?
Distance = 7
(x - 1)/6, (y - 2)/3(z - 3)/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 ((x
2 - x
1)
2 + (y
2 - y
1)
2
+ (z
2 - z
1)
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
- (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
Tags:
Add This Calculator To Your Website