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True or false three lines that intersect at the same point must all be in the same plane and why?
Wiki User
∙ 14y ago
False. Think of a corner of a cube such as a room. If you face the corner, there is one line defined by the floor and the wall to your left. A second line defined by the floor and wall to your right and the third line, going vertically, defined by the two walls. These three lines are mutually perpendicualr (or orthogonal) - very definitely not coplanar.
Wiki User
∙ 14y ago
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Plane has two number lines that intersect at the point called the?
false.
What parallel lines intersect?
Parallel lines in the Euclidean plane do not intersect but all parallel lines in the projective plane intersect at the point at infinity.
Will non parallel lines intersect?
If the 2 lines lie in the same plane, and they are not parallel, then they will intersect at some point. If the 2 lines are skew lines, then they are not in the same plane, and they will not intersect (but they are Not Parallel)
Do skew lines intersect if they are in the same plane?
No, skew lines cannot be in the same plane, since they do not have a point on common. Two lines intersect if they lie in a common plane, and by definition, these intersecting lines are not skew lines.
When two or more lines intersect at a point they are said to be?
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
Plane has two number lines that intersect at the point called the?
false.
Can the lines of a plane intersect?
All non-parallel lines in a plane will intersect at some point in the plane.
What parallel lines intersect?
Parallel lines in the Euclidean plane do not intersect but all parallel lines in the projective plane intersect at the point at infinity.
If two lines intersect they intersect in an infinite number of ponits true or false?
false they intersect at a single point
Will non parallel lines intersect?
If the 2 lines lie in the same plane, and they are not parallel, then they will intersect at some point. If the 2 lines are skew lines, then they are not in the same plane, and they will not intersect (but they are Not Parallel)
Do skew lines intersect if they are in the same plane?
No, skew lines cannot be in the same plane, since they do not have a point on common. Two lines intersect if they lie in a common plane, and by definition, these intersecting lines are not skew lines.
When two or more lines intersect at a point they are said to be?
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
Three lines that intersect in a point but do not all lie in the same plane?
collinear plane
When lines intersect at the same point are they on the same plane?
No because only co-linear lines lie on the same plane
Does intersecting lines meet at two points?
Lines in a plane can intersect at only one point.
Two lines intersect in more than one point?
In Euclidean plane geometry two infinitely long straight lines intersect at only one point
Three lines that intersect at the same point must all be in the same plane?
no
