Show that the curve
has exactly one self-intersection point and finnd the two unit tangent vectors (in the direction of increasing t) at this point.
I have found the self intersection. I know that a unit tangent vector is the derivative of each component>But the wording has me a bit confused.What does it mean "in the direction of increasing t at this point"?
Aug 6th 2010, 06:38 AM
Aug 6th 2010, 06:49 AM
Originally Posted by ulysses123
But the wording has me a bit confused.What does it mean "in the direction of increasing t at this point"?
You will naturally compute the unit vector in the direction of t increasing, that is just there to remove all ambiguity. Otherwise you'd have to choose between that vector and its opposite, because they both qualify as unit tangent vectors.
Aug 6th 2010, 06:03 PM
when i evaluate the tangent vectors at the values of t for the self intersection i get:
do i normalise this to make it a unit tangent vector? and how do i specify a direction?