What is the distance between (–10, –2, 2) and (–1, 1, 3) ?

1 Answer
Apr 26, 2018

Distance between (-10,-2,2) and (-1,1,3) is sqrt 91 unit

Explanation:

The distance between two points P(x_1,y_1,z_1) and

Q(x_2,y_2,z_2) in xyz-space is given by formula,

D=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2

Here P=(-10,-2,2) and Q=(-1,1,3)

D(P,Q)=sqrt((-1+10)^2+(1+2)^2+(3-2)^2 or

D(P,Q)=sqrt(81+9+1)= sqrt 91 unit

Distance between (-10,-2,2) and (-1,1,3) is sqrt 91 unit [Ans]