How do I find the distance between points in space?
Sample:
Find the distance from point K (2, 4, -6) and L (4, 6, 0)?
2007-08-09 10:10:50 · 3 answers · asked by journey 1 in Science & Mathematics ➔ Mathematics
d=sqrt((x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2)
=sqrt((4-2)^2 + (6-4)^2 + (0--6)^2)
=sqrt(2^2 + 2^2 + 6^2)
=sqrt(4 + 4 + 36)
=sqrt(44)
=sqrt(4*11)
=sqrt(4)sqrt(11)
=2sqrt(11)
2007-08-09 10:16:52 · answer #1 · answered by Larry C 3 · 1⤊ 0⤋
It's the same as finding the distance between 2 linear points. You need to use pythagoras.
dx= 2-4=-2
dy= 4-6=-2
dz= -6-0=-6
distance = sqrt (dx^2 +dy^2 +dz^2)
= sqrt (4+4+36)
=sqrt 44
= 6.66 units
2007-08-09 17:23:29 · answer #2 · answered by quirky_ki 1 · 0⤊ 0⤋
d² = 2² + 2² + 6²
d² = 44
d = 2â11
2007-08-09 17:41:36 · answer #3 · answered by Como 7 · 1⤊ 0⤋