Monday, October 2, 2017

mathematics - The normal vector to a plane ax+by+cz+d=0?


I am calculating the normal vector to a plane ax+by+cz+d=0


According to the book:


The normal vector N is often normalized to unit length because in that case the equation



d = N ⋅Q + D 

gives the signed distance from the plane to an arbitrary point Q. If d = 0, then the point Q lies in the plane. If d > 0, we say that the point Q lies on the positive side of the plane since Q would be on the side in which the normal vector points.


How to get the N (Normal vector)? Thank you




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