Quaternion Properties 
The Quaternion type exposes the following members.
Name  Description  

A 
Gets or sets the real part of the quaternion.
 
B 
Gets or sets the first imaginary coefficient of the quaternion.
 
C 
Gets or sets the second imaginary coefficient of the quaternion.
 
Conjugate 
Gets a new quaternion that is the conjugate of this quaternion.
This is (a,b,c,d)  
D 
Gets or sets the third imaginary coefficient of the quaternion.
 
I 
Returns the (0,1,0,0) quaternion.
 
Identity 
Returns the (1,0,0,0) quaternion.
 
Inverse 
Computes a new inverted quaternion,
(a/L2, b/L2, c/L2, d/L2), where L2 = length squared = (a*a + b*b + c*c + d*d). This is the multiplicative inverse, i.e., (a,b,c,d)*(a/L2, b/L2, c/L2, d/L2) = (1,0,0,0). If this is the zero quaternion, then the zero quaternion is returned.  
IsScalar 
true if b, c, and d are all zero.
 
IsValid 
Determines if the four coefficients are valid numbers within RhinoCommon.
 
IsVector 
true if a = 0 and at least one of b, c, or d is not zero.
 
IsZero 
true if a, b, c, and d are all zero.
 
J 
Returns the (0,0,1,0) quaternion.
 
K 
Returns the (0,0,0,1) quaternion.
 
Length 
Returns the length or norm of the quaternion.
 
LengthSquared 
Gets the result of (a^2 + b^2 + c^2 + d^2).
 
Scalar 
The real (scalar) part of the quaternion
This is A.  
Vector 
The imaginary part of the quaternion
(B,C,D)  
Zero 
Returns the default quaternion, where all coefficients are 0.
