Home › Solved exercises › Intersection of two planes

Intersection of two planes

Statement. Find the intersection line of planes P: z = 2 and Q: y = 3.

Step-by-step solution

  1. Both planes are projecting: P is seen edge-on in the elevation and Q in the plan.
  2. The intersection is the set of points that satisfy both conditions at once: y = 3 and z = 2.
  3. That line is parallel to the ground line: in the elevation it looks like a horizontal line at height 2, and in the plan like a horizontal line at distance 3.
  4. Mark any two points of that line to draw it.

Result

Line i: y = 3, z = 2 (parallel to the ground line).

Open the editorAll exercises