Planes Tilted A plane tilted at an angle is a plane that intersects the coordinate plane at an angle. This means that the plane is not flat, but has a specif...
A plane tilted at an angle is a plane that intersects the coordinate plane at an angle. This means that the plane is not flat, but has a specific angle of rotation.
To represent a plane tilted at an angle, we use a coordinate transformation called projection. Projection is a method that maps points and lines from one plane to another, preserving the relative positions of the objects.
In the context of projection, the plane of interest is called the projection plane. The points and lines from the original plane are projected onto the projection plane. The projection plane may have a different coordinate system than the original plane, but the relative positions of the points and lines are preserved.
Examples:
A plane tilted at 30° would intersect the xy-plane at a point with coordinates (0, 3).
A plane tilted at 60° would intersect the z-axis at a point with coordinates (0, 0, 3).
A plane tilted at 15° would intersect the y-axis at a point with coordinates (0, 1, 0)