toupee said:Hi all, I am just wondering if my calculations are correct, and in fact these points do not lie on a plane. My answer is = 50 and i am not confident. Can anyone help me please?
You have the answer in your first post:toupee said:I have miss-read the question. All it is asking me to do, is prove that these points lie in the same plane. May i ask how?
When we say that four points lie on a plane, it means that these four points are coplanar, or that they all lie on the same flat surface. This surface is called a plane and can be imagined as a two-dimensional sheet or a tabletop.
To prove that four points lie on a plane, we can use the concept of collinearity, which means that the points lie on the same line. We can show that three of the four points are collinear, and then use the fact that any three points on a line lie on the same plane to prove that all four points lie on the same plane.
A plane can be defined by just three non-collinear points. This means that any three points that are not on the same line can be used to define a unique plane.
No, four non-collinear points will always lie on a plane. This is because a plane is a two-dimensional surface, and any four points in three-dimensional space will always lie on a two-dimensional surface.
A plane is a two-dimensional surface, while a line is a one-dimensional object. A plane can be thought of as a flat sheet, while a line can be thought of as a thin thread. Additionally, a plane is defined by at least three points, while a line is defined by just two points.