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What does three noncollinear points determine?
A plane
The number of noncollinear points needed to determine a circle?
Three.
The number of noncollinear points needed to determine a unique plane?
Three
Are four points sometimes noncollinear?
yes. For example the corners of a square, or on the circumference of a circle.
Points a b and c are noncollinear . how many lines are determined by a b and c?
Three noncollinear points ( A ), ( B ), and ( C ) determine exactly three lines: line ( AB ), line ( BC ), and line ( AC ). Each pair of points defines a unique line, and since the points are noncollinear, no two lines coincide. Thus, the total number of lines determined by points ( A ), ( B ), and ( C ) is three.
What does three noncollinear points determine?
A plane
What are the number of noncollinear points needed to determine a circle?
3
How many noncollinear points are needed to determine a circle?
3
The number of noncollinear points needed to determine a circle?
Three.
The number of noncollinear points needed to determine a unique plane?
Three
Example of non-collinear points?
what is noncollinear because it was a point
Are four points sometimes noncollinear?
yes. For example the corners of a square, or on the circumference of a circle.
Points a b and c are noncollinear . how many lines are determined by a b and c?
Three noncollinear points ( A ), ( B ), and ( C ) determine exactly three lines: line ( AB ), line ( BC ), and line ( AC ). Each pair of points defines a unique line, and since the points are noncollinear, no two lines coincide. Thus, the total number of lines determined by points ( A ), ( B ), and ( C ) is three.
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.
Are four noncollinear points always coplanar?
No. For example, consider the vertices of a tetrahedron (triangle-based pyramid).
Points that do not lie on the same line?
noncollinear
Points A B and C are noncollinear. How many lines are determined by A B and C?
Three noncollinear points A, B, and C determine exactly three lines. Each pair of points can be connected to form a line: line AB between points A and B, line AC between points A and C, and line BC between points B and C. Thus, the total number of lines determined by points A, B, and C is three.
