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:
| x - x0 | |
| a |
| = |
| y - y0 | |
| b |
| = |
| z - z0 |
| c |
Plugging in our numbers, we get:
| x - 2 | |
| 1 |
| = |
| y - 4 | |
| 1 |
| = |
| z - 6 |
| 1 |
Final Answers
Distance = 1.7320508075689
(x - 2)/1, (y - 4)/1(z - 6)/1
(x - 2)/1, (y - 4)/1(z - 6)/1
What is the Answer?
Distance = 1.7320508075689
(x - 2)/1, (y - 4)/1(z - 6)/1
(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.
(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)
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
