Question

What is the distance between `(–2, 1, 3)` and #(3, 2, 1) #?

Answer 1

`sqrt30` units

Explanation:

Assuming these as either 2 points or 2 vectors in 3-dimensional space `RR^3`, which is a metric space, we may use the normal Euclidean metric to find the distance between the 2 elements as :

`d((-2,1,3,),(3,2,1))=sqrt((-2-3)^2+(1-2)^2+(3-1)^2)`

`=sqrt(25+1+4)`

`=sqrt30`