 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-oxford/2017/prelims/mathematics-v-resit/question-3/a/solution

u = (- y, x, 0)

\nabla \times u = (\partial_{y} 0 - \partial_{z} x, \partial_{z} (- y) - \partial_{x} 0, \partial_{x} x - \partial_{y} (- y)) = (0, 0, 2) = 2 e_{3} .

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