Parameterizing vector function for intersection of cylinder and plane 1. The problem statement, all variables and given/known data Problem asks us to find the vector function of the curve which is created when the plane y= 5/2 intersects the ellptic cyl. (x^2)/4 + (z^2)/6 = 5 2. Relevant equations 3. The attempt at a solution I know its going to be an ellipse formed.... I took the given ellptic cyl. equation, and divided by 5 to get (x^2)/20 + (z^2)/30 = 1. ***I parameterized by using x=cos(t) and z=sin(t) and got ((cost)^2)/20 + ((sint)^2)/30 =1. Now, by looking at examples that are somewhat similar, I could tell the answer by looking at number relationships. However, I am unsure of the true way to go about getting my final solution. My "made up way" of solving was to set either x or z to zero before parameterizing. My final answers are x=(sqrt)cos(t) y=5/2 z=(sqrt)sin(t) I checked my answer using a graphing program, and it is correct, but I am just unsure about going about the TRUE way of solving once I get to the part labeled *** above. Thanks.