Question: Let r(t) = (3t2, sin(t) - tcos(t), cos(t) + tsin(t)), t > 0. (a) Find the vectors unit tangent vector T and unit normal

Let r(t) = (3t2, sin(t) - tcos(t), cos(t) + tsin(t)), t >

 

Let r(t) = (3t2, sin(t) - tcos(t), cos(t) + tsin(t)), t > 0. (a) Find the vectors unit tangent vector T and unit normal vector N. (b) Find the curvature. (c) Find the binormal vector B. (b) Find the torsion.

Step by Step Solution

3.37 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a To find the unit tangent vector T first find the derivative of rt and normalize it to get T rt 3t2 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!