Google Classroom구글 클래스룸
GeoGebra지오지브라 클래스룸

Copy of Three Dimensional plane

Note:
  • To drag the point in the grid (where ), simply move it.
  • To move the point UP or DOWN, click the point first and then drag it up or down.
  • Click on the point again and then drag it to move it LEFT and RIGHT again (and keeping it at the same level above or below the grid). Click again to then move it up and down, and so on.

One Dimension

Two dimensions

Three Dimensions

Three-Dimensional Coordinate Geometry

When we move from two dimensions to three dimensions, we introduce a new axis, the z-axis, perpendicular to both the x and y axes. This gives rise to 3D Coordinate Geometry, where a point is represented as (x, y, z). A point in 3D space is identified by three coordinates, (x, y, z), where:
  • x is the perpendicular distance from the yz-plane.
  • y is the perpendicular distance from the xz-plane.
  • z is the perpendicular distance from the xy-plane.

Rotate the planes below and see that that the whole space is divided into 8 distinct portions. These are called octants. The first octant has points all whose coordinates will be positive.

Drag the point B (Red) along the x-axis and study the coordinates of the eight vertices of the cube

Move the LARGE POINT so it has the 3D coordinates shown. (See note below this app too.)