Intersection of a plane and a line
Task
Intersect a plane and a line in the 
3D Graphics View of GeoGebra to create the intersection point.
3D Graphics View of GeoGebra to create the intersection point.Explore the construction...
Drag the points A and B and explore how the position of the intersection point changes.
Instructions
| 1. | | Enter p: x + y = z into the Input Bar in the  Algebra View and hit the Enter key to define a plane p.
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| 2. | | Create two points A and B by entering A = (3, 4, 3) and B = (-4, -2, -1) into the Input Bar and hitting the Enter key after each input. |
| 3. |  | Select the Line tool from the 3D Graphics Toolbar and click on the points A and B respectively to create the line a through both points. |
| 4. |  | Select the Intersect tool. Then, click on the plane and the line to create the intersection point C. |
| 5. |  | Use the Move tool to change the position of the points A and B. What happens to the intersection point if the line is parallel to the plane, or if both points lie within the plane? |
| Hint: By clicking on a point you can switch between moving the point parallel to the x-y-plane or parallel to the z-axis. |