Step 1 :

If is the position vector, then

The unit tangent vector is .

If tangent vector is , then

The principal unit normal vector is or

Step 2 :

The vector-valued function is and time .

Apply derivative on each side with respect to t.

Find the magnitude :

Step 3 :

Find the tangent vector :

Substitute in above equation.

Since , or .

Step 4 :

Graph :

Graph the parametric equations and the normal vector .

Solution :

or .

Graph :