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Blake
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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.
Do collinear points lay on parallel lines?
Colinear points mean that if you draw a (really long) line between any two of them, the line will pass through the others. Or simply: there can exist a straight line that can pass through all of them. These are colinear points: . .... .. One line can pass through all of them: These ar not colinear points: :. If I try to connect any two of them with a line, the third point will not lie on that line.
How many straight lines can be formed out of 10 points of which 7 are collinear?
If only 7 are colinear, then the question implies the lines need not go through every point. In that case there is an infinity of lines for each point.
What must be true about collinear point?
They must be coplanar before they can be colinear. They lie on the same line or equivalently, they must all satisfy te same linear equation.
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.
