 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2016/paper-2/11/a/i/solution

The independent vectors

a, b

span the plane through the origin, and their cross product is a nonzero normal vector. Thus the required nonparametric equation is

r \cdot (a \times b) = 0 .

 New to topics? Read the docs here!