SOLUTION: please find the distance between (-2,3,1) and (4,5,-1) and the midpoint of the points (-2,3,1) and (4,5,-1) Thanks!

Algebra ->  Length-and-distance -> SOLUTION: please find the distance between (-2,3,1) and (4,5,-1) and the midpoint of the points (-2,3,1) and (4,5,-1) Thanks!       Log On


   



Question 64799: please find the distance between (-2,3,1) and (4,5,-1)
and
the midpoint of the points (-2,3,1) and (4,5,-1)
Thanks!

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
please find the distance between P(X1,Y1,Z1)=(-2,3,1) and Q(X2,Y2,Z2)=(4,5,-1)
and
the midpoint of the points P(-2,3,1) and Q(4,5,-1)
Thanks!
PQ=SQRT[(X2-X1)^2+(Y2-Y1)^2+(Z2-Z1)^2]=SQRT[(4+2)^2+(5-3)^2+(-1-1)^2]
=SQRT[36+4+4]=SQRT(44)=2SQRT(11)
LET R(X,Y,Z) BE THE MID POINT
X=(X1+X2)/2....ETC.
HENCE R IS
=[(-2+4)/2,(3+5)/2,(1-1)/2]
=(1,4,0)