Modelling objects in space
A Point
Relationships
Point and line
A line 2D and 3D
Point and plane
A plane
Line with line
Line with plane
Plane with plane
Problems
If point belongs to line
If point does not belong to line, find:
 Shortest distance between them
 The point’s projection on the line
 The point’s reflection over the line
If point belongs to plane
If point does not belong to plane, find:
 Shortest distance between them
 The point’s projection on the plane
The point’s reflection over the plane
Determine if parallel/intersecting/skew
For intersecting lines, find the point of
intersection.
For parallel or skew lines, find the shortest
distance between them.
Determine if parallel/coincide/intersecting.
For intersecting, find:
 Point of intersection
 Angle
Find reflection of the line over the plane
Determine if parallel/intersecting at a point
or a line.
Find the point of intersection or the line of
intersection.
Find the angle between 2 non-parallel planes