Homework Soursefind the points of intersection if any of the tangent line t
find the points of intersection if any of the tangent line to the curve r(t) =< 3t^2, t^3, -12t^4 > at the points (3,-1,-3) with the plane x-y+z=-1
Solution
The curve r(t) =< 3t^2, t^3, -12t^4 does not pass through the point (3,-1,-3) since t=-1 would satisfy x and y coordinates which at the same time does not satisfy the Z coordinate. Therefore, no point of intersection exists
