Question
The intersection of plane R and plane P is
.
Point
is not on plane P.
Line C E and Line D B intersect at point
.
.
Point
is not on plane P.
Line C E and Line D B intersect at point
.
Answers
There are no human answers yet.
Answered by
GPT-5 mini
I don't have the diagram or the missing labels — the problem text you pasted has blanks. Could you either upload the figure or tell me which points lie on each plane and which points are on each line (or give coordinates)? With that I can fill in the blanks.
If you want to solve this yourself, here are the quick rules to use:
- The intersection of two distinct planes R and P is a line. To name that line, identify two distinct points that lie on both planes; the line through those two points is R ∩ P.
- To decide whether a given point is not on plane P, check whether it is coplanar with three noncollinear points that define P. In coordinate form, either substitute the point into the plane equation or check that the vectors from one reference point in the plane to the others are not linearly dependent with the vector to the test point.
- To find the intersection of lines CE and DB, see if they share a common point in the figure (or solve their parametric equations if coordinates are given). If they do, that shared point is the intersection.
Send the diagram or the list of points/coordinates and I’ll fill in the specific answers.
If you want to solve this yourself, here are the quick rules to use:
- The intersection of two distinct planes R and P is a line. To name that line, identify two distinct points that lie on both planes; the line through those two points is R ∩ P.
- To decide whether a given point is not on plane P, check whether it is coplanar with three noncollinear points that define P. In coordinate form, either substitute the point into the plane equation or check that the vectors from one reference point in the plane to the others are not linearly dependent with the vector to the test point.
- To find the intersection of lines CE and DB, see if they share a common point in the figure (or solve their parametric equations if coordinates are given). If they do, that shared point is the intersection.
Send the diagram or the list of points/coordinates and I’ll fill in the specific answers.
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