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wow another stupid person. whoever asked this question it is obviously there home work.. no one is going to sit on there but at there computer all day answering some kids home work. so crack open that text book and start studying!! at this rate you are going to fail...
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How many lines are determined by coplanar points a b c and d?
4*3/2 = 6 lines.
What are non-coplanar lines?
In Euclidean Geometry, two non-coplanar lines are two lines in 3-dimensional space for which no single plane contains allpoints in both lines. For any two lines in three dimensional space, there is always at least one plane that contains all points in one line and at least one point in the other line. But there is not always (in fact it's quite rare) that any plane will contain all points in both lines. When it happens, there is only one such plane for any two distinct lines. Note that, any two lines in 3-dimensional space that intersect each other mustbe coplanar. Also, any two lines in 3-dimensional space that are parallel to each other must also be coplanar. So, in order to be non-coplanar, two lines in 3-dimensional space must a) not intersect each other at any point, and b) not be parallel to each other. (As it turns out, this dual condition is not only necessary, but sufficient for non-coplanarity.) Also note that, as a test for coplanarity of two lines, you need only test two points on each line, for a total of four points, because all points on a single line are, by definition, on the same plane. In fact, all you really have to do is test a single point on one line against three other points (one on the same line and two on the other line), because, by definition, any three points in 3-dimensional space are on the same plane. For example, consider any two distinct points on line m (A and B), and any two distinct points on line l (C and D). Points A and B are obviously coplanar because they are colinear (in fact, they are coplanar in the infinite number of planes that contain this line). Point C on line l is also coplanar with points A and B, because by definition, any 3 non-colinear points in 3-dimensional space define a plane (however, if point C is not on line m, the number of planes that contain all three points is immediately reduced from infinity to one). So the coplanarity test for the first three points is trivial - they are coplanar no matter what. However, it is not at all certain that point D will be on the same plane as points A, B, and C. In fact, for any two random lines in 3-dimensional space, the probability that the four points (two on each line) are coplanar is inifinitesimally small. But, if the fourth point, the one not used to define the plane, is nevertheless coplanar with the three points that define the plane, then lines l and m are coplanar. Note that, though I specified that points A and B on line m must be distinct, and that points C and D on line l must be distinct, I did not specify that C and D must both be distinct from both A and B. That is because, if, for example, A and C are the same (not distinct) point, then, obviously, lines m and l intersect, at point A, which is the same as point C. If this is the case, then the question of whether D is on the same plane as A, B, and C is trivial, because you really only have 3 distinct points, and any three distinct points alwaysshare a plane. That is why intersecting lines (lines that share a single point) are always coplanar. But you're asking about non-coplanar lines. So, basically, if any point on either of the two lines is not coplanar with the other three points (one on the same line and two on the other line), then the lines are non-coplanar.
What do you call when two lines have meet?
It depends what shape the lines meet in. If they meet in a triangle the point in which the lines meet are called the vertex.In Geometry, this isn't precisely true, since there are no "lines" in a triangle, only line segments.In Euclidean (standard) geometry, two lines can only:(a) meet at a single "point"; OR(b) never meet (they are parallel lines).You could ask "what if they meet at several points?". In that case, there is just one line. A line goes on infinitely far in either direction. And if two lines meet at more than one point, they are congruent at every point, and are therefore both just the same line. It is impossible for two different lines to meet at two or more points in Euclidean geometry.
Is A B C coplanar?
Yes.
What is a triangle with two sides?
BiAngle, two lines leave from point A on a sphere and after 180 degrees they meet on point B <><><><> However, by definition, a triangle will always have THREE sides.
How many lines are determined by coplanar points a b c and d?
4*3/2 = 6 lines.
What are non-coplanar lines?
In Euclidean Geometry, two non-coplanar lines are two lines in 3-dimensional space for which no single plane contains allpoints in both lines. For any two lines in three dimensional space, there is always at least one plane that contains all points in one line and at least one point in the other line. But there is not always (in fact it's quite rare) that any plane will contain all points in both lines. When it happens, there is only one such plane for any two distinct lines. Note that, any two lines in 3-dimensional space that intersect each other mustbe coplanar. Also, any two lines in 3-dimensional space that are parallel to each other must also be coplanar. So, in order to be non-coplanar, two lines in 3-dimensional space must a) not intersect each other at any point, and b) not be parallel to each other. (As it turns out, this dual condition is not only necessary, but sufficient for non-coplanarity.) Also note that, as a test for coplanarity of two lines, you need only test two points on each line, for a total of four points, because all points on a single line are, by definition, on the same plane. In fact, all you really have to do is test a single point on one line against three other points (one on the same line and two on the other line), because, by definition, any three points in 3-dimensional space are on the same plane. For example, consider any two distinct points on line m (A and B), and any two distinct points on line l (C and D). Points A and B are obviously coplanar because they are colinear (in fact, they are coplanar in the infinite number of planes that contain this line). Point C on line l is also coplanar with points A and B, because by definition, any 3 non-colinear points in 3-dimensional space define a plane (however, if point C is not on line m, the number of planes that contain all three points is immediately reduced from infinity to one). So the coplanarity test for the first three points is trivial - they are coplanar no matter what. However, it is not at all certain that point D will be on the same plane as points A, B, and C. In fact, for any two random lines in 3-dimensional space, the probability that the four points (two on each line) are coplanar is inifinitesimally small. But, if the fourth point, the one not used to define the plane, is nevertheless coplanar with the three points that define the plane, then lines l and m are coplanar. Note that, though I specified that points A and B on line m must be distinct, and that points C and D on line l must be distinct, I did not specify that C and D must both be distinct from both A and B. That is because, if, for example, A and C are the same (not distinct) point, then, obviously, lines m and l intersect, at point A, which is the same as point C. If this is the case, then the question of whether D is on the same plane as A, B, and C is trivial, because you really only have 3 distinct points, and any three distinct points alwaysshare a plane. That is why intersecting lines (lines that share a single point) are always coplanar. But you're asking about non-coplanar lines. So, basically, if any point on either of the two lines is not coplanar with the other three points (one on the same line and two on the other line), then the lines are non-coplanar.
Points a b c and d are coplanar b c and d are collinear not a how many lines are determined by a b c and d?
5 its 4
What do you call when two lines have meet?
It depends what shape the lines meet in. If they meet in a triangle the point in which the lines meet are called the vertex.In Geometry, this isn't precisely true, since there are no "lines" in a triangle, only line segments.In Euclidean (standard) geometry, two lines can only:(a) meet at a single "point"; OR(b) never meet (they are parallel lines).You could ask "what if they meet at several points?". In that case, there is just one line. A line goes on infinitely far in either direction. And if two lines meet at more than one point, they are congruent at every point, and are therefore both just the same line. It is impossible for two different lines to meet at two or more points in Euclidean geometry.
Two lines in the same plane are if they have no common points?
They can be but need not be. They could be parallel lines which, between them define a plane. Or they could be non-parallel, non-intersecting lines. Imagine yourself in a cuboid room with your back to a wall. Consider the line (A) formed by the wall behind you and the wall to your right. Consider the line (B) formed by the floor and the wall opposite you. The lines A and B have no point in common butthey are not coplanar.
G C and B are?
coplanar
Is A B C coplanar?
Yes.
What is a triangle with two sides?
BiAngle, two lines leave from point A on a sphere and after 180 degrees they meet on point B <><><><> However, by definition, a triangle will always have THREE sides.
If the three vectors a b and c are coplanar then the missed product a x b c is?
zero
When there is a transversal of two lines are lines coplanar?
Not necessarily. Imagine yourself inside a cuboid room. Consider the following three lines: (A) The horizontal line joining the far wall and the floor. (B) The horizontal line joining the wall on your left and the ceiling. and (C) The vertical line joining the far wall and the wall on your left. The line C may be considered a transversal to the other two. These are both parallel but they are not coplanar. Their planes are both horizontal but Line A is in a low plane while B is in a high plane.
How can four non coplanar vectors give a resultant zero?
Easy, the fourth vector (D) be opposite the sum of the other three non-coplanar vectors (A , B, C). 0=A + B + C + D where D = -(A + B + C).
The point where two rays meet is called the?
vertex
