Your right! I was thinking of a vector equation. Then I suppose the parametric equations would look something like: x = -1 +3t², y = 1, z = 3 + t² ? But that still doesn't contain the expected y component, I must be doing something wrong yet.
Homework Statement
Find the parametric equations of the line tangent to the curve of intersection of the paraboloid
z = x² + y² and the ellipsoid 4x² + y² + z² = 9 at the point ( -1, 1, 2 ).
Homework Equations
Probable use of the gradient vector (as this is the chapter we are in)...