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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.
What are the 3 undefined terms in geometry?
point, line and plane
What type of segment from a point to a line or plane is the shortest segment from the point to the line or plane?
A ray
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.
When does a plane and line intersect at one point?
When the line is inclined to the plane. That is, it is not in the plane nor is it parallel to it.
Can three points determined a plane?
Yes, three points determine a plane unless they are in a straight line. A plane is two dimensions a line is only one. You need a third point(not in the line) to define a plane.
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.
Point is to line as line is to?
Plane. A point has no dimension, a line has one dimension, and a plane has two dimensions.
What are the 3 undefined terms in geometry?
point, line and plane
What is the intersection of a plane and a line not on the plane?
point * * * * * or, nothing (if the line is parallel to the plane).
If point is to line line is to what?
plane
What type of segment from a point to a line or plane is the shortest segment from the point to the line or plane?
A ray
How would the point where a ray intersects a three dimensional triangular plane be determined?
Presumably, the "three dimensional triangular plane" is actually a two dimensional plane which is "tilted" with respect to the axes. The point of intersection is simply the coordinates of the solution to the simultaneous equations for the line and the plane.
where does a plane intersect in geometry?
A plane intersects a line at a point, and i plane intersects another plane at a line.
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.
Which of these is determined by three points that are not on the same line?
plane
Which of these is determined by three points that are not the same line?
A plane.
