To prove that three points are colinear, pick two points and form the equation of the line they describe, and then see if the third point lies on that line.
Any three points anywhere in space can be the vertices of a triangle, as long as all three are not colinear.
No. A trinagle does not require four points, three are sufficient. And any three points, if they are not colinear, must be coplanar.
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.
colinear points
Yes, a plane can be uniquely defined by three points as long as the three points are not colinear. (Three points are colinear if there is a straight line that passes through all three points.)
Colinear Points
To prove that three points are colinear, pick two points and form the equation of the line they describe, and then see if the third point lies on that line.
Any three points anywhere in space can be the vertices of a triangle, as long as all three are not colinear.
No. A trinagle does not require four points, three are sufficient. And any three points, if they are not colinear, must be coplanar.
Different points on the same line
They are points on the line,. If the line is a straight line the points are said to be colinear If all the points are on a line with an equation of the form (x - X)² + (y - Y)² = r² then the points are all points on the circumference of a circle with centre (X, Y) and radius r.
colinear points
Collinear points.
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.
colinear
colinear