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:
Plugging in our numbers, we get:
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 ((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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