Find equations of osculating, normal and rectifying planes at given value of t
This may be more geometry related, but it's for a calculus class so I posted it here.
Find r, T, N, and B at the given value of t. Then find the equations for the osculating, normal and rectifying planes at that value of t.
$\displaystyle r(t)=cos(t)i+sin(t)j+tk, t=0$
I've figured out the values of r, T, N and B, but I do not know how to find the equations for the the normal, rectifying and osculating planes. I've looked around online to no avail.
$\displaystyle r(0)=i$
$\displaystyle T(0)=\frac{1}{\sqrt{2}}j+\frac{1}{\sqrt{2}}k$
$\displaystyle N(0)=-i$
$\displaystyle B(0)=\frac{-1}{\sqrt{2}}j+\frac{1}{\sqrt{2}}k$
So how do you find the equations for these planes?