Here is the problem I am working on: Deduce the equation of the main normal and binormal to the curve: $x=t, y=t^2, z=t^3, t=1.$
I remember from Calc-3 that the binormal is unit tangent $\times$ unit normal, and that unit normal is tangent prime /magnitude of tangent prime. However, my text book has the binormal as unit tangent $\times$ principle normal, with principal normal listed as a very long formula.
Is unit normal different from principal normal? I have worked my way through the unit tangent but am not sure about the normal.