Question

what is the distance in space between the points with coordinates (-3,6,7) and (2,-1,4)

Answer 1

dont tell me the answer

Answer 2

d^2 = x'^2 + y'^2 + z'^2

Answer 3

where the 's are the difference between component parts

Answer 4

25+49+9=83

Answer 5

9.11 right

Answer 6

ive used distance formula

Answer 7

think of the distance formula as the sqrt of the difference of components:

the distance from 5 to 16 is then:\(\sqrt{(5-16)^2}\)

the distance from 5,3 to 16,4 is then:\(\sqrt{(5-16)^2+(3-4)^2}\)

the distance from 5,3,z1 to 16,4,z2 is then:\(\sqrt{(5-16)^2+(3-4)^2+(z_1-z_2)^2}\)

etc...