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
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 ((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)
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