I've worked it out, I just can't use the normal way of working out magnitudes of vectors as it's the same process that gives modului of complex numbers so I have to define the components of my vector as:
(x,iy,iz,iw)
and the magnitude as the dot product of I and I.
The properties of x,y,z, and w are that they're magnitudes of directly measurable quantities. But it doesn't matter if they're mutplied by aritary constants; I've tried mutplying y z and w by 'i' but it doesn't seem to give me the result I want.