I think the question you mean to ask is, "Do three collinear points make a triangle?" Linear is simply the adjective form of "line", "collinear" is used to describe points that lie on the same line. (Two points not only can be collinear, but always are, so it makes little sense to describe them as such).Collinear points cannot make a triangle, a triangle requires three noncollinear points.
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
Three non-collinear points do not determine a unique spherical triangle.
a triangle is formed by line segments that connect two non-collinear points
No, A plane can be drawn through any 3 points. If the 3 points are collinear then they make a line and a plane can contain a line. If the points are noncollinear then they can be used to form the corners of a triangle; all points of a triangle are in the same plane.
I think the question you mean to ask is, "Do three collinear points make a triangle?" Linear is simply the adjective form of "line", "collinear" is used to describe points that lie on the same line. (Two points not only can be collinear, but always are, so it makes little sense to describe them as such).Collinear points cannot make a triangle, a triangle requires three noncollinear points.
The following is the answer.
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
That they are not collinear.
Three non-collinear points do not determine a unique spherical triangle.
a triangle is formed by line segments that connect two non-collinear points
No, A plane can be drawn through any 3 points. If the 3 points are collinear then they make a line and a plane can contain a line. If the points are noncollinear then they can be used to form the corners of a triangle; all points of a triangle are in the same plane.
its a triangle
No. Not if they are collinear (on the same straight line).
False.
a triangle
To determine if two sets of points are collinear, you can calculate the slopes of the lines formed by connecting the points in each set. If the slopes are equal, then the points are collinear. Another method is to calculate the area of the triangle formed by the three points in each set. If the area is zero, then the points are collinear. Lastly, you can use the determinant of a matrix method to check if the points lie on the same line.