Question

what is the euclidean distance between x(3,2,5) and y(2,3,3) in three dimensional space? 4 2.45 3 1.5

Answer 1

9514 1404 393

Answer:

(b) 2.45

Explanation:

That distance is the magnitude of the vector between the two points:

∆ = y -x = (2 -3, 3 -2, 3 -5) = (-1, 1, -2)

Then the distance you want is ...

|∆| = √((-1)² +1² +(-2)²) = √(1+1+4) = √6 ≈ 2.45