Question

Show that a necessary and sufficient condition for a curve to be a plane
Curve is torsion t=0 at all points.​

Answer 1

Answer:

The necessary and sufficient condition that a curve to be a plane curve is that

A) curvature k=0 at all points of C

B) torsion τ=0at all points of C

C) torsion τ≠0 at all points of C

D) curvature k=1 at all points of C

Correct Answer:

B) torsion τ=0at all points of C