Quote:Original post by Anonymous Poster
N % Transp (R) * Transp (Q) + N % Transp (T) + d = 0
[N % Transp (R)] * Transp (Q) + N % Transp (T) + d = 0
Hm... every thing is fine in the calculations apart for this step which just plain doesn't have any sense.
You can't just take out a composition out of a dot product.
N is a 1x3 matrix and R is a 3x3 matrix. I'm not familiar with a dot product between those two types of vectors, actuall there isn't one because they don't belong to the same vector space. Even if there was one the result is a scalar , i.e. a number which you're trying to compose with a matrix (compose not multiply). Multiplying matrices and multiplying a matrix with a scalar are two different operations.
Anyway, up to that point its all correct, but not after that.
To address the OP question:
what do you mean by the term neutral form?
Do you mean rotate the plane into one of the coordinate planes, or into a plane parrallel to one of the coordinate planes, or do you just wanna get a normalized equation of the plane(i.e. have its normal vector be unit length)?