
What is a 3-D plane called?
Answer
530.4k+ views
Hint: We use the concept of Euclidean geometry where we mostly use the 3-D plane. We use the term space as the indicator for the 3-D plane.
Complete step-by-step solution:
In mathematics, analytical geometry describes every point in three-dimensional space by means of three coordinates. Three coordinate axes are given, each perpendicular to the other two at the origin, the point at which they cross. They are usually labelled $x,y,z$. Relative to these axes, the position of any point in three-dimensional space is given by an ordered triple of real numbers, each number giving that distance of that point from the origin measured along the given axis, which is equal to the distance of that point from the plane determined by the other two axes.
In Euclidean geometry, a two-dimensional curve or figure exists in a single plane, which is definable in 3-dimensional terms as the set of all points that are coplanar with any 3 given points. Any point in a given plane can be defined in relation to 2, mutually perpendicular axes: typically called the X and Y axes.
Note: A three-dimensional Cartesian coordinate system is formed by a point called the origin (denoted by O) and a basis consisting of three mutually perpendicular vectors. These vectors define the three coordinate axes: The X, Y and Z axes. They are also known as the abscissa, ordinate and applicate axis, respectively.
Complete step-by-step solution:
In mathematics, analytical geometry describes every point in three-dimensional space by means of three coordinates. Three coordinate axes are given, each perpendicular to the other two at the origin, the point at which they cross. They are usually labelled $x,y,z$. Relative to these axes, the position of any point in three-dimensional space is given by an ordered triple of real numbers, each number giving that distance of that point from the origin measured along the given axis, which is equal to the distance of that point from the plane determined by the other two axes.
In Euclidean geometry, a two-dimensional curve or figure exists in a single plane, which is definable in 3-dimensional terms as the set of all points that are coplanar with any 3 given points. Any point in a given plane can be defined in relation to 2, mutually perpendicular axes: typically called the X and Y axes.
Note: A three-dimensional Cartesian coordinate system is formed by a point called the origin (denoted by O) and a basis consisting of three mutually perpendicular vectors. These vectors define the three coordinate axes: The X, Y and Z axes. They are also known as the abscissa, ordinate and applicate axis, respectively.
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