Public Group

# Intersecting & perpendicular planes

This topic is 2612 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

## Recommended Posts

Hello everybody,

I have a plane 1 described by a normal and a point.

I would like to find a plane 2 that is intersecting plane 1 and perpendicular to it.

How can I find this plane 2 ?

##### Share on other sites
For the second plane, generate a direction vector that is perpendicular to the normal of the first plane: Use the cross product with the normal of the plane and an arbitrary other direction vector that is not collinear to that normal. The second plane normal is the result of that cross product, and to define the d value for the plane equation (or the point on the plane), you can pick an arbitrary value, say d=0, or reuse the same point than the first plane has. See here for an example of how to compute a vector perpendicular to another vector (and make sure it doesn't turn out degenerate).

1. 1
2. 2
Rutin
19
3. 3
khawk
18
4. 4
5. 5
A4L
11

• 12
• 16
• 26
• 10
• 44
• ### Forum Statistics

• Total Topics
633767
• Total Posts
3013739
×