Point B lies in the middle of the line segment connecting ...

Question

Point B lies in the middle of the line segment connecting the points P₀(1, 3, 1) and P₁(−3, 5, 1).

what is point B?

Answer 1

(1+-3)/2, (3+5)/2 , (1+1)/2

(-1,4,1)

distance formula to check:

P0 to B:

sqrt ( (1 - -1)^2 + (3 - 4)^2 + (1-1)^2) = sqrt( 2^2 + (-1)^2 + 0^2) = sqrt(4+1) = sqrt(5)

P1 to B:

sqrt ( (-3 - -1)^2 + (5-4)^2 + (1-1)^2) = sqrt( (-2)^2 + 1^2 + 0^2) = sqrt( 4+1) = sqrt(5)

(-1,4,1) is the midpoint B