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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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1mo ago

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What are three or more points not all of which lie on the same line?

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


When three points lie on a line one point is called?

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.


When three points lie on a line you can say that one of them is blank the other two?

segment


What is the inverse of the statement if three points lie on a line then they are collinear?

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.


When you say three points collinear?

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.


Do three coplanar points lie 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 points that lie on the same line are?

Collinear


What are the three points for coplanar but not collinear?

Two points (which must lie on a line) and the third point NOT on that line.


If three points are coplanar then are they 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.


If the points are on the same line then the points are collinear?

Three or more points that lie on the same straight line are called Collinear.


Any three points lie on a distinct line?

true


Do three random points lie on the same line?

they do, if the line is curved, otherwise it is infinitely unlikely, but possible that they lie on a straight line