how to plot points in 3d plane
The three coordinate planes divide the space into eight parts known as octants. If a point A lies in the first octant of a coordinate space, then the lengths of the perpendiculars drawn from point A to the planes XY, YZ and ZX are represented by x, y, and z respectively and are called the coordinates of point A. This means that the coordinates of point A are (x, y, z). However, if point A would have been in any other quadrant, then the signs of x, y, and z would change accordingly.
Octants → | I | II | III | IV | V | VI | VII | VIII |
Coordinates↓ | ||||||||
x | + | − | − | + | + | − | − | + |
y | + | + | − | − | + | + | − | − |
z | + | + | + | + | − | − | − | − |
The coordinates of a point lying on different axes are as follows:
The coordinates of a point lying on the x-axis will be of the form (x, 0, 0).
The coordinates of a point lying on the y-axis will be of the form (0, y, 0).
The coordinates of a point lying on the z-axis will be of the form (0, 0, z).
The coordinates of a point lying on different planes are as follows:
The coordinates of a point lying in the XY-plane will be of the form (x, y, 0).
The coordinates of a point lying in the YZ-plane will be of the form (0, y, z).
The coordinates of a point lying in the ZX-plane will be of the form (x, 0, z)