I'm stuck at the properties of a 3d curve parametrized by arc length. My problem is given below.
We know that the binormal of a curve at a point is:
where binormal and is normal to the curve and is tangent.
So binormal is the cross product of normal and tangent at a point of a curve.
Now if why's that ? How do one prove this statement?
What properties of mathematics verify that ? Is it possible to kindly help me answer this question?