Unit 1ProjectionsHARD
Intersection of Line with Plane
A line AB intersects a triangular plane PQR. Given: A(15,20,10), B(55,40,50), P(20,10,15), Q(50,30,20), R(35,40,40). Find the point of intersection.
7,300 views
Solution Diagram
Click to enlarge
Step-by-Step Construction
- 1
Draw projections of line AB and triangle PQR
- 2
In front view, extend line AB and note where it appears to cross the plane
- 3
Project this apparent intersection point to top view
- 4
Check if this point lies within triangle PQR in both views
- 5
If yes, this is the true intersection point
- 6
If not visible in one view, line misses the plane
- 7
Determine coordinates of intersection point from projections
Pro Tips
- •Always verify your measurements with a scale before finalizing the drawing
- •Use construction lines lightly and darken the final solution
- •Label all important points and reference lines clearly