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Not necessarily, eg the three points (0, 0), (1, 1) and (2,0) are not co-linear, but (0,0), (1,1) and (2,2) are.
But three points are co-planar, that is they all lie in one plane.
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How do you prove the 3 points are colinear?
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.
What three points can be the verticies of a triangle?
Any three points anywhere in space can be the vertices of a triangle, as long as all three are not colinear.
A triangle is a figure formed by three segments and four coplanar points?
No. A trinagle does not require four points, three are sufficient. And any three points, if they are not colinear, must be coplanar.
Noncollinear points lie on the same line?
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.
What is the set of points that lie on the same line called?
colinear points
Can each plane be uniquely defined by three 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.)
What are points that lie on the same line?
Colinear Points
How do you prove the 3 points are colinear?
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.
What three points can be the verticies of a triangle?
Any three points anywhere in space can be the vertices of a triangle, as long as all three are not colinear.
A triangle is a figure formed by three segments and four coplanar points?
No. A trinagle does not require four points, three are sufficient. And any three points, if they are not colinear, must be coplanar.
What are colinear points?
Different points on the same line
What are points that lay 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.
What is the set of points that lie on the same line?
colinear points
Points on the same line are said to be?
Collinear points.
Noncollinear points lie on the same line?
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.
Two points are if they are on the same line?
colinear
What do you call points which are on the same line?
colinear
