Find the distance between the points??

Question

(-2, -8, -3) and (6, -7, 4)

a. -114

b. sqrt114

c. 16

d. 114

Answer 1

distance ^2=(x2-x1)^2+(y2-y1)^2+(z2-z1)^2

                    =(6+2)^2+(-7+8)^2+(4+3)^2

                    =(8)^2+(1)^2+(7)^2

                    =64+1+49

                     =114

distance between the given points = sqrt(114)

Answer 2

You need the genralization fo the pythagorean formula.

a^2 + b^2 + c^2 = d^2

or d= sqrt(a^2 + b^2 + c^2)

which is

d = sqrt((X1-X2)^2 + (Y1-Y2)^2 + (Z1-Z2)^2)

plug in your numbers

d = sqrt((-2-6)^2 + (-8--7)^2 + (-3-4)^2)

which simplifies to

d = sqrt((-8)^2 + (-1)^2 + (-7)^2)

d = sqrt(64 + 1 + 49)

d=sqrt (114)