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I'd feel a lot more comfortable if you said "... can contain one line and a point ...".
When you say "pass through one line", I picture a sword passing through a tight piece
of string. If that's how your plane passes through the line, then the statement in your
"question" is false. If your plane contains the line and the extra point, then the statement
is true ... only one plane can do that.
What else can I help you with?
Point A lies outside of plane P how many lines can be drawn parallel to plane P that pass through point A?
Only one line can be drawn parallel to plane P that passes through point A. This line will be oriented in the same direction as the plane, remaining equidistant from it. All other lines passing through point A will either intersect the plane or be skew to it.
Can a line and a point not on that line lie in one and only one plane?
Yes, a line and a point not on that line lie in one and only one plane. According to the geometric principle, a line and a point not on that line define a unique plane, as there is only one way to extend the line and include the point to create a flat surface. This plane contains all the points that can be connected to the line while also including the external point.
What is the intersection of a line and a plane?
The intersection of a line and a plane can result in either a single point, if the line passes through the plane, or no intersection at all if the line is parallel to the plane and does not touch it. In some cases, if the line lies entirely within the plane, every point on the line will be an intersection point. Thus, the nature of the intersection depends on the relative positions of the line and the plane.
What is the point of intersection of a circle of a sphere with tangent line or plane?
The point of intersection of a tangent line or plane with a circle on a sphere is the single point where the line or plane touches the circle. This point is unique because, by definition, a tangent line or plane only intersects a circle at one point without passing through it. If the tangent is from an external point, it signifies that the line or plane is just "touching" the circle at that specific location. In three-dimensional space, this concept illustrates the relationship between the geometry of the sphere and the properties of tangents.
What is formed by the intersection of a line and a plane if the line does not lie in the plane?
When a line intersects a plane and does not lie in the plane, the intersection forms a single point. This point is where the line crosses the plane. If the line is parallel to the plane, however, there will be no intersection point.
Is it true that only one plane can pass through one and a point that is not on the line?
If you mean "only one plane can pass through another plane and through a point that is not on the line formed by the intersection of the two planes," the answer is "no." If you rotate the plane about the point, it will still intersect the line unless it is parallel to the line. By rotating the plane, you have created other planes that pass through the unmoved plane and through the point that is not on the line formed by the intersection of the two planes.
Can only one plane pass through one line and a point that is not on the line?
Yes
The intersection of a plane and a line is?
If the line is not IN the plane ... it just zaps through the plane from some direction ... then it touches the plane in only one point. The intersection is a point.if it is lined up with the plane, then the intersection is a line.
If a plane contains one point of a line then it must contain the entire line?
No, a plane can contain only one point of a line. Picture a piece of paper with a pencil stabbed through it. The paper is the plane, and the pencil is the line. The pencil/line only touches the paper/plane at one point. Hope this helped! If it did, please recommend me. -Brad
What is the intersection of a line and a plane?
The intersection of a line and a plane can result in either a single point, if the line passes through the plane, or no intersection at all if the line is parallel to the plane and does not touch it. In some cases, if the line lies entirely within the plane, every point on the line will be an intersection point. Thus, the nature of the intersection depends on the relative positions of the line and the plane.
How many line can be drawn through two point in a plane?
One.
How many line can pass through a point in a plane?
an infinite number
What is the intersecton of a plane and a line not contained in the plane?
Take a piece of paper and poke a pencil through it. That is a point.
Do a line and a point not on that line lie in one and only one plane?
Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.
What is the connection among plane line and point?
Point : 0 dimensions (position only) Line: 1 dimension (length) Plane: 2 dimensions (length and width)
What is elliptical geometry and examples?
Elliptical geometry is like Euclidean geometry except that the "fifth postulate" is denied. Elliptical geometry postulates that no two lines are parallel.One example: define a point as any line through the origin. Define a line as any plane through the origin. In this system, the first four postulates of Euclidean geometry hold; through two points, there is exactly one line that contains them (i.e.: given two lines through the origin, there is one plane that contains them) and so on. However, it is nottrue that given a line and a point not on the line that there is a parallel line through the point (that is, given a plane through the origin, and a line through the origin, not on the plane, there is no other plane through the origin that is parallel to the given plane).
If Point p is on line m then how many plane are perpendicular to line m and also passes through point p?
1
