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When would three points not determine a plane?
A series of 3 points will always determine a plane unless 2 or all 3 points are identical points (they have the same coordinates).If the idea is to have the three points determine oneplane, a unique plane, then three points will do that as long as none of them have the same spacial coordinates (have identical locations) or as long as the three points do not lie on a single line.If a straight line can be drawn through all three points, they will not form one unique plane either.
A set of three or more points not on the same line are points?
A set of three points not on the same line are points that define a unique plane.more than three points not on a plane are in a space (volume).
How many points make a plane?
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
What is the definition of coplanar points?
>Two points that lie on the same plane. Any pair of points on the plane will thus >form a line. (In most basic geometry classes, the majority of the class work is >only concerned with one plane) Any number of points can be coplanar. In fact, any 3 points are always coplanar, and if they are not colinear (all three on the same line), they define a unique plane.
What is the intersection of a three dimensional figure and a plane called?
It is the cross-section of the figure by the plane.
What three unique tricks can a harrier plane perform?
Hover, take off or land vertically, and fly sideways and backward.
What three unique tricks can a harrier do?
Take off vertically, land vertically, and hover in mid-air
What three unique trick can a harrier jet do?
Take off vertically, land vertically, and hover in mid-air
Can three points that define a plane also define a different plane?
No, only one UNIQUE Plane.
The number of noncollinear points needed to determine a unique plane?
Three
How many points are needed to determine a unique plane?
A plane can be determined by three points, as long as the three points do not lie along a single line.
What would happen if three collinear points are used to define a plane?
Three collinear points don't define a plane."Define" means narrow it down to one and only one unique plane, so that it can't be confused with any other one.There are many different planes (actually infinite) that can contain three collinear points, so no unique plane is defined.
Is it true that the four coplanar points determine three unique plane?
No. If the four points are coplanar, they determine only one plane!
How many points are needed to define a unique plane Are they any restrictions on the location of these points?
A unique plane is defined by three non-collinear points. This means that the points must not all lie on the same straight line. If the three points are collinear or if only two points are given, they do not suffice to define a unique plane. Thus, the key restriction is that the three points must be non-collinear.
Infinite width and length and can be determined by three points?
The shape described is a plane, which is a two-dimensional surface that extends infinitely in both width and length. In geometry, a plane can be uniquely determined by any three non-collinear points on the plane. This is known as the "three-point" or "unique determination" property of a plane. The three points define the plane's orientation and position in three-dimensional space.
A plane can be determined by how many points that are not on the same line?
A plane can be determined by three points that are not on the same line. These three non-collinear points define a unique flat surface in three-dimensional space. Any additional points in the same plane will also lie on that surface, but the three points are sufficient to establish the plane's existence.
When would three points not determine a plane?
A series of 3 points will always determine a plane unless 2 or all 3 points are identical points (they have the same coordinates).If the idea is to have the three points determine oneplane, a unique plane, then three points will do that as long as none of them have the same spacial coordinates (have identical locations) or as long as the three points do not lie on a single line.If a straight line can be drawn through all three points, they will not form one unique plane either.
