datatype:QuaternionVector-DP

This vector type is intended to hold the (real-valued) coefficients to a quaternion number. That is, if $V=[a,b,c,d]$ is a vector of type QUATERNION-VECTOR, then the proper interpretation of this vector is with respect to the basis elements $1,i,j,k$ of the quaternion algebra. Specifically, the V corresponds to the quaternion $v = a*1 + b*i + c*j + d*k$. Note that for most computations, the quaternion basis elements will be replaced with their 4 X 4 dimensional matrix representations, which are elements of type QuaternionBasisMatrix. In this case, the resulting quaternion will be a 4 X 4 dimensional matrix of the form:

 a   b  c  d
-b   a -d  c
-c   d  a -b
-d  -c  b  a