-- The beginning point of a line can be any one of the 10 points. For each of these ...
-- The end point of the line can be any one of the remaining 9 points.
So there are (10 x 9) = 90 ways to form a line with 2 of 10 non-colinear points.
But once a line is drawn, there's no difference between it and the one that was drawn in the opposite direction between the same two points. So the 90 ways of forming lines actually produce (90 / 2) = 45 unique line segments.
The definition of a non-collinear line is that this is a line on which points do not lie on one line. The opposite of this is a collinear point. Collinear points refer to three points that do fall on a straight line.
Collinear lines lie on the same straight line
they are points that aren't on the same line
depends on the position of the points if points are collinear, we have just only one line, the minimum number. If points are in different position (if any of the two points are not collinear) we have 21 lines (7C2), the maximum number of lines.
# 1
only 1 lines can contain 3 collinear points. Maybe you mean coplanar?
"Collinear" means "on the same straight line".Two points are always collinear, because you can always draw a straight linebetween any two points. Three points may or may not be collinear.
The definition of a non-collinear line is that this is a line on which points do not lie on one line. The opposite of this is a collinear point. Collinear points refer to three points that do fall on a straight line.
Three
3 lines and one plane
Yes. You can draw infinitely many straight lines from each point.
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.
Collinear lines lie on the same straight line
Not sure about complanar. Coplanar lines can be collinear but need not be.
To determine if two sets of points are collinear, you can calculate the slopes of the lines formed by connecting the points in each set. If the slopes are equal, then the points are collinear. Another method is to calculate the area of the triangle formed by the three points in each set. If the area is zero, then the points are collinear. Lastly, you can use the determinant of a matrix method to check if the points lie on the same line.
Collinear lines lie on the same straight line passing through the same points and they are coplanular lines when meeting on the same plane.
If points m, n, o, and p are arranged such that three of them lie on a straight line, there are two possible scenarios: either three points (e.g., m, n, o) are collinear and the fourth point (p) is not, or all four points are collinear. In the first case, there is one line formed by the three collinear points, and the fourth point can form additional lines with any two of the other three points. Therefore, if only three are collinear, there are multiple lines; if all four are collinear, there is just one line.