SOLUTION: Find the distance between 𝐴 = (1, 10, 3) and 𝐵 = (5, 5, 5) as well as the coordinates of the Midpoint of line segment 𝐴B.

Algebra ->  Circles -> SOLUTION: Find the distance between 𝐴 = (1, 10, 3) and 𝐵 = (5, 5, 5) as well as the coordinates of the Midpoint of line segment 𝐴B.      Log On


   

Question 1180154: Find the distance between 𝐴 = (1, 10, 3) and 𝐵 = (5, 5, 5) as well as the coordinates of the Midpoint of line segment 𝐴B.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

For:
(x%5B1%5D,+y%5B1%5D, z%5B1%5D) = (1, 10, 3)
(x%5B2%5D, y%5B2%5D, z%5B2%5D) = (5,+5, 5)

Distance Equation Solution:
d=sqrt%28%285-1%29%5E2%2B%285-10%29%5E2%2B%285-3%29%5E2%29
d=sqrt%284%5E2%2B%28-5%29%5E2%2B2%29%5E2%29
d=sqrt%2816%2B25%2B4%29
d=sqrt%2845%29
d=6.708204 roud it
d=6.7

Midpoint of line segment AB is:
M=( %281%2B5%29%2F2,%2810%2B5%29%2F2,%283%2B5%29%2F2)=(3 ,+15%2F2 , 4)