Search results
Results from the WOW.Com Content Network
The four quadrants of a Cartesian coordinate system The axes of a two-dimensional Cartesian system divide the plane into four infinite regions , called quadrants , each bounded by two half-axes. The axes themselves are, in general, not part of the respective quadrants.
The standard orientation, where the xy-plane is horizontal and the z-axis points up (and the x- and the y-axis form a positively oriented two-dimensional coordinate system in the xy-plane if observed from above the xy-plane) is called right-handed or positive. 3D Cartesian coordinate handedness. The name derives from the right-hand rule.
A point P has coordinates (x, y) with respect to the original system and coordinates (x′, y′) with respect to the new system. [1] In the new coordinate system, the point P will appear to have been rotated in the opposite direction, that is, clockwise through the angle . A rotation of axes in more than two dimensions is defined similarly.
This bivector describes the plane perpendicular to what the cross product of the vectors would return. Bivectors in GA have some unusual properties compared to vectors. Under the geometric product, bivectors have a negative square: the bivector x̂ŷ describes the xy-plane. Its square is (x̂ŷ) 2 = x̂ŷx̂ŷ.
x, y, and z are all functions of the independent variable t which ranges over the real numbers. (x 0, y 0, z 0) is any point on the line. a, b, and c are related to the slope of the line, such that the vector (a, b, c) is parallel to the line.
A point in the plane may be represented in homogeneous coordinates by a triple (x, y, z) where x/z and y/z are the Cartesian coordinates of the point. [10] This introduces an "extra" coordinate since only two are needed to specify a point on the plane, but this system is useful in that it represents any point on the projective plane without the ...
The horizontal plane shows the four quadrants between x- and y-axis. (Vertex numbers are little-endian balanced ternary.) An octant in solid geometry is one of the eight divisions of a Euclidean three-dimensional coordinate system defined by the signs of the coordinates. It is analogous to the two-dimensional quadrant and the one-dimensional ...
In two dimensions, there are four orthants (called quadrants) In geometry, an orthant [1] or hyperoctant [2] is the analogue in n-dimensional Euclidean space of a quadrant in the plane or an octant in three dimensions. In general an orthant in n-dimensions can be considered the intersection of n mutually orthogonal half-spaces.