Binormal vector, $B(t)$, is independent of $t$?

Question

What does it mean that the binormal vector, $B(t)$, is independent of $t$?

Also, if the curvature, $k(t)$, of a curve equals $\frac{1}{t}$, where $t\ge 0$, does the curve posses any points in which the curvature is zero?

I know that the curvature will be undefined if $t=0$. Does it meant that the answer to the question is no?

Thanks!

Answer 1

My instinct would be no since $\lim_{t\rightarrow \infty}\frac{1}{t}=0$, but I do not know if you would be considering the long time behaviour, but in any case "$\infty$" is not a point