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The number of lines that can be drawn perpendicular to a given line at a given point on that line in space is?
There is exactly one line that can be drawn perpendicular to a given line at a specific point on that line in three-dimensional space. This is because a perpendicular line will intersect the original line at a right angle, and in three-dimensional geometry, any point on a line can have only one such unique perpendicular direction.
The number of lines that can be drawn perpendicular to a given line at a given point on that line in a plane is?
Only one line can be drawn perpendicular to a given line at a specific point on that line in a plane. This is based on the definition of perpendicular lines, which intersect at a right angle (90 degrees). The uniqueness of this perpendicular line arises from the geometric properties of Euclidean space.
How many planes contain a given line in space?
Given a line, there are an infinite number of different planes that it lies in.
Is it possible for one point to be in two different planes?
Yes, a single point can belong to multiple planes. In three-dimensional space, a point is defined by its coordinates and can be a part of any number of planes that intersect at that point. For example, if two planes intersect at a line, every point on that line, including the intersection point, is contained in both planes.
How many planes can pass through a point in space?
Infinitely many.
In space how many planes can be perpendicular to a given line at a given point?
only 1
The number of lines that can be drawn perpendicular to a given line at a given point on that line in space is?
There is exactly one line that can be drawn perpendicular to a given line at a specific point on that line in three-dimensional space. This is because a perpendicular line will intersect the original line at a right angle, and in three-dimensional geometry, any point on a line can have only one such unique perpendicular direction.
The number of lines that can be drawn perpendicular to a given line at a given point on that line in a plane is?
Only one line can be drawn perpendicular to a given line at a specific point on that line in a plane. This is based on the definition of perpendicular lines, which intersect at a right angle (90 degrees). The uniqueness of this perpendicular line arises from the geometric properties of Euclidean space.
How many planes contain a given line in space?
Given a line, there are an infinite number of different planes that it lies in.
How many lines are therein a space that are perpendicular bisectors of a given segment?
one
Is it possible for one point to be in two different planes?
Yes, a single point can belong to multiple planes. In three-dimensional space, a point is defined by its coordinates and can be a part of any number of planes that intersect at that point. For example, if two planes intersect at a line, every point on that line, including the intersection point, is contained in both planes.
How many planes can pass through a point in space?
Infinitely many.
What is the locus of points in space that are equidistant from two parallel planes?
A plane midway between the two given planes and parallel to them.
Can two planes in three dimensional space intersect at one point?
No, the two planes intersect at a line, which is an infinite number of points.
Can two planes in three-dimensional space intersect at one point?
No, they intersect at a line.
The set of points in space that are a given distance from a given point is?
A spherical surface, with its center at the given point, and its radius equal to the given distance.
What is the set of points in a space that are a given distance from a given point?
They form the sphere whose center is the given point and whose radius is the given distance.
