Collinear set of points
Slope of a straight line is the same at all points on the line, whereas for a curved line it changes.
Non collinear refers to three or more points that are not all on the same straight line.
Non collinear points are not all located on the same line. You can not draw a straight line through all three of them. That's about it. ;)
Through any three points NOT on the same straight line. If they are all on the same line then that line can act as an axis of rotation for an infinite number of planes containing the three points.
Three points that are all on a line are called "collinear points." These points lie on the same straight line, which means that if you were to draw a line through them, all three would be included on that line. Collinearity is a fundamental concept in geometry, often used to describe the relationship between points in a coordinate system.
a perfectly straight line
Slope of a straight line is the same at all points on the line, whereas for a curved line it changes.
Non collinear refers to three or more points that are not all on the same straight line.
Straight line
Non collinear points are not all located on the same line. You can not draw a straight line through all three of them. That's about it. ;)
A straight line is a shape defined by a set of two or more adjacent points all within the same one-dimensional space.
A straight line is a shape defined by a set of two or more adjacent points all within the same one-dimensional space.
No. Either they do not intersect at all, or they intersect in a straight line or are the same.
collinear
Through any three points NOT on the same straight line. If they are all on the same line then that line can act as an axis of rotation for an infinite number of planes containing the three points.
Three points that are all on a line are called "collinear points." These points lie on the same straight line, which means that if you were to draw a line through them, all three would be included on that line. Collinearity is a fundamental concept in geometry, often used to describe the relationship between points in a coordinate system.
Either they are in the form of a triangle or they are all on the same straight line.If you are given the points just join any two of the points together and, if required, extend the line. If that line goes through the third point then the points are not in a triangle.If you have the coordinates A = (xa, ya), B = (xb, yb) and C = (xc, yc), thenif xa = xb = xc then they are all on the same straight line and so are not in a triangle.otherwise, if (ya - yb)/(xa - xb) = (yb - yc)/(xb - xc) they are on the same straight line and so are not in a triangle. In all other cases, they are.By extension, if the vector AB is a multiple of vector BC then they are in a straight line. Otherwise they are in a triangle.