intersection
Graphically, it is the point of intersection where the lines (in a linear system) intersect. If you have 2 equations and two unknowns, then you have a 2 lines in a plane. The (x,y) coordinates of the point where the 2 lines intersect represent the values which satisfies both equations. If there are 3 equations and 3 unknowns, then you have lines in 3 dimensional space. If all 3 lines intersect at a point then there is a solution to the system. With more than 3 variables, it is difficult to visualize more dimensions, though.
this is one example of concurrent line .concurrent line- 3 or more lines that intersect in a certain point .
Yes.To help visualize, consider this:A 3-legged stool won't wobble on a flat surface (3 points of contact.)The minimum number of points to define two intersecting lines is where the point where the lines intersect, and another unique point on each line. (3 points total) This is represented by where the 3-leg stool touches the flat surface. The flat surface represents any determinant plane.If the lines did not intersect, you would require 4 separate points to define them. This is represented by 4-leg chairs, which by contrast often wobble (if only very slightly), since the extra point is not required to define the flat surface that it rests on (the determinant plane)In essence, 'a plane is determined by two intersecting lines' is the same as saying 'a plane is determined by three uniquepoints', which are, in both cases true.
3 lines 3 planes
y = x - 1 y - x = 3 y = x - 1 y = x + 3 Since both equations represent straight lines that have equal slopes, 1, then the lines are parallel to each other. That is that the lines do not intersect, and the system of the equations does not have a solution.
Concurrent lines
Graphically, it is the point of intersection where the lines (in a linear system) intersect. If you have 2 equations and two unknowns, then you have a 2 lines in a plane. The (x,y) coordinates of the point where the 2 lines intersect represent the values which satisfies both equations. If there are 3 equations and 3 unknowns, then you have lines in 3 dimensional space. If all 3 lines intersect at a point then there is a solution to the system. With more than 3 variables, it is difficult to visualize more dimensions, though.
No, that is not true.
Assuming that the none of the lines are parallel, they can intersect (pairwise) at three points. Otherwise, the question is tautological.
Mark two point an ony two sides. Join these with lines that do not intersect within the shape.Mark two point an ony two sides. Join these with lines that do not intersect within the shape.Mark two point an ony two sides. Join these with lines that do not intersect within the shape.Mark two point an ony two sides. Join these with lines that do not intersect within the shape.
A triangle? Three lines that intersect in three points.
this is one example of concurrent line .concurrent line- 3 or more lines that intersect in a certain point .
In space with 3 or more dimensions, there are infinitely many pairs of lines that are not parallel and do not intersect.
There is an infinite number of lines.
A triangle.
x = 3 and y = 2 so the lines intersect at the point (3, 2)
I'm pretty sure it's a vertex