SOLUTION: What is The position of an ant and a spider in a room are A(2,5,7)and5(4,6,10), determine their distance

Algebra ->  Length-and-distance -> SOLUTION: What is The position of an ant and a spider in a room are A(2,5,7)and5(4,6,10), determine their distance      Log On


   

Question 1197174: What is The position of an ant and a spider in a room are A(2,5,7)and5(4,6,10), determine their distance
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Point A = ant's position
Point B = spider's position

A = (x1,y1,z1) = (2,5,7)
B = (x2,y2,z2) = (4,6,10)

Use the 3D version of the distance formula
d = distance from A to B



d+=+sqrt%28%282-4%29%5E2%2B%285-6%29%5E2%2B%287-10%29%5E2%29

d+=+sqrt%28%28-2%29%5E2%2B%28-1%29%5E2%2B%28-3%29%5E2%29

d+=+sqrt%284%2B1%2B9%29

d+=+sqrt%2814%29 is the exact distance between the two points A(2,5,7) and B(4,6,10); i.e. it is the exact length of segment AB.