A definition, perhaps.
A plane
Three.
Three
A real-life example of noncollinear points can be found in the layout of a triangular park. If you consider three trees planted at different corners of the park, those trees represent noncollinear points because they do not lie on the same straight line. Each tree's position forms a distinct vertex of the triangle, illustrating how noncollinear points can create shapes in a spatial context.
yes. For example the corners of a square, or on the circumference of a circle.
A plane
3
3
Three.
Three
what is noncollinear because it was a point
A real-life example of noncollinear points can be found in the layout of a triangular park. If you consider three trees planted at different corners of the park, those trees represent noncollinear points because they do not lie on the same straight line. Each tree's position forms a distinct vertex of the triangle, illustrating how noncollinear points can create shapes in a spatial context.
yes. For example the corners of a square, or on the circumference of a circle.
Three noncollinear points ( A ), ( B ), and ( C ) determine exactly three lines: line ( AB ), line ( BC ), and line ( AC ). Each pair of points defines a unique line, and since the points are noncollinear, no two lines coincide. Thus, the total number of lines determined by points ( A ), ( B ), and ( C ) is three.
You have to have three or more points to have non-colinear points because any two points determine a line. Noncolinear are NOT on the same line.
No. For example, consider the vertices of a tetrahedron (triangle-based pyramid).
noncollinear