Enter point 1
Answer
Distance = 7
(x - 1)/6, (y - 2)/3(z - 3)/2
(x - 1)/6, (y - 2)/3(z - 3)/2
↓Steps Explained:↓
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:
| x - x0 | |
| a |
| = |
| y - y0 | |
| b |
| = |
| z - z0 |
| c |
Plugging in our numbers, we get:
| x - 1 | |
| 6 |
| = |
| y - 2 | |
| 3 |
| = |
| z - 3 |
| 2 |
Final Answers
Distance = 7(x - 1)/6, (y - 2)/3(z - 3)/2
Related Calculators: Unit Circle | Line Equation-Slope-Distance-Midpoint-Y intercept | Equation of a Plane