If the points are collinear, that means there's only one straight line.
An infinite number of different planes can be drawn that contain one straight line.
Between 2 distinct points, there are an infinite number of planes that can be drawn in 3 dimensions
Through any two distinct points, exactly one line can be drawn. For 5 non-collinear points, each pair of points can form a line. The number of ways to choose 2 points from 5 is given by the combination formula ( \binom{5}{2} ), which equals 10. Therefore, 10 lines can be drawn through 5 non-collinear points.
If you only have two points, they are necessarily collinear, because a straight line can be drawn between any two points.
There are 91 lines.
From 8 non-collinear points, the number of straight lines that can be drawn is determined by choosing any two points to form a line. This can be calculated using the combination formula ( \binom{n}{r} ), where ( n ) is the total number of points and ( r ) is the number of points to choose. For 8 points, the calculation is ( \binom{8}{2} = \frac{8 \times 7}{2 \times 1} = 28 ). Therefore, 28 straight lines can be drawn using 8 non-collinear points.
Between 2 distinct points, there are an infinite number of planes that can be drawn in 3 dimensions
Through any two distinct points, exactly one line can be drawn. For 5 non-collinear points, each pair of points can form a line. The number of ways to choose 2 points from 5 is given by the combination formula ( \binom{5}{2} ), which equals 10. Therefore, 10 lines can be drawn through 5 non-collinear points.
Only one plane can pass through 3 non-collinear points.
If you only have two points, they are necessarily collinear, because a straight line can be drawn between any two points.
21
There are 91 lines.
15 lines.
From 8 non-collinear points, the number of straight lines that can be drawn is determined by choosing any two points to form a line. This can be calculated using the combination formula ( \binom{n}{r} ), where ( n ) is the total number of points and ( r ) is the number of points to choose. For 8 points, the calculation is ( \binom{8}{2} = \frac{8 \times 7}{2 \times 1} = 28 ). Therefore, 28 straight lines can be drawn using 8 non-collinear points.
3 lines and one plane
Yes. You can draw infinitely many straight lines from each point.
If there are n points then the maximum number of lines possible is n*(n-1)/2 and that maximum is attained of no three points are collinear.
Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them. An infinite number of planes can be drawn that include the line. But if you pick a third point that does not lie on the line. There will be exactly one plane that will contain the line and that point you added last. Only oneplane can contain the line, which was determined by the first two points, and the last point.