When three points lie on a line, one point can be expressed as a linear combination of the other two. This means that if you have points A, B, and C on the same line, one point (say C) can be represented as a weighted average of the other two points (A and B). However, it does not imply that one point is literally the same as the other two, only that it can be derived from them geometrically.
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The inverse of the statement "If three points lie on a line, then they are collinear" is "If three points are not collinear, then they do not lie on a line." This flips both the hypothesis and the conclusion, negating each. In essence, it asserts that if points do not meet the criteria of being collinear, they cannot be positioned on the same line.
They lie in the same plane, but they don't necessarily have to lie on the same line. Every triangle consists of three points that are coplanar but non-colinear.
Three or more points that lie on the same straight line are called Collinear.
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if there are three or more points not all of which lie on the same line then they are known as non linear pointsif there are specifically three points not all of which lie on the same line then they are known as coplanar points as they will always lie on one plane
If three points all lie on the same line, then the points are said to be "collinear". This is also true if the slope from each point to the next is the same.
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Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.
Collinear
They lie in the same plane, but they don't necessarily have to lie on the same line. Every triangle consists of three points that are coplanar but non-colinear.
Two points (which must lie on a line) and the third point NOT on that line.
Three or more points that lie on the same straight line are called Collinear.
Not necessarily. Coplanar means that points lie on the same plane whereas collinear means that points lie on the same line. Points on a plane do not necessarily lie along the same line.
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they do, if the line is curved, otherwise it is infinitely unlikely, but possible that they lie on a straight line
Collinear points are points that lie on the same line. Noncollinear points do not lie on the same line. Any two points are always collinear, i.e. forming a line. Three or more points can be collinear along a single line.Collinear points lies on the same straight line.