I know that to be collinear, two or more points must be in the same line. But do the points have to be coplanar in order to be collinear?
2006-09-14 16:37:57 · 10 answers · asked by Jae 3 in Science & Mathematics ➔ Mathematics
Coplanar means they have to be located on the same plane. Collinear is on the same line within the plane, so yes, technically they need to be coplanar to be collinear, but geometry does not require that to be part of the explanation or proof.
2006-09-14 16:41:54 · answer #1 · answered by ? 4 · 0⤊ 0⤋
A collinear points are always coplanar. But not the other way round for example 3 points in a circle are co planar but no collinear
2006-09-14 23:53:03 · answer #2 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
Yes ,
the points have to be coplanar in order to be collinear
2006-09-14 23:46:43 · answer #3 · answered by Scooby 3 · 0⤊ 0⤋
a line always lies in a plane so by that logic two points which form a line will definitely be coplanar.
2006-09-16 09:10:49 · answer #4 · answered by nishu 1 · 0⤊ 0⤋
Yes...if two points are in one line, they are also on the same plane. For example, the line could form one of the coordinate axes of the plane.
2006-09-14 23:47:11 · answer #5 · answered by Doug 2 · 0⤊ 0⤋
no the points have to be on line to be collinear.
2006-09-14 23:43:50 · answer #6 · answered by ♥ 3 · 0⤊ 1⤋
I think so. All the points on a linear line should be in the same plane.
2006-09-14 23:41:30 · answer #7 · answered by Scott S 2 · 0⤊ 0⤋
Yes. If two points do not even lie on the same plane, they sure as heck cannot lie on the same line.
2006-09-14 23:42:53 · answer #8 · answered by Pascal 7 · 1⤊ 0⤋
no
2006-09-15 08:19:07 · answer #9 · answered by Anonymous · 0⤊ 0⤋
no
2006-09-14 23:39:33 · answer #10 · answered by Stephanie 3 · 0⤊ 1⤋