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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.
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.
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 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
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.
What is point richness?
refers to the number of specie that can be foun at a singlr point in a given space
The set of all points in space that are a given distance from a given point?
A circle, sphere or hyper-sphere - depending on the dimensionality of the space.
