1. The problem statement, all variables and given/known data Given the vector (6,-15) and foci (6,10) (6,-14), Find the equation of the conic. 2. Relevant equations Vector = <6,-15> (x-h)2/a2 + (y-k)2/b2 = 1 Foci (h+c,k) and (h-c,k) vertices (h+a,k), (h-a,k) 3. The attempt at a solution k = 6 h=-2 a=-12 I'm not sure what I'm doing. How do I know that this conic is an ellipse, and not a hyperbola? And how do I find b and c, after finding a? edit: How does a vector even relate to the equation of an ellipse?