 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2022/paper-2/1/b/solution

(1, - 1, 0)^{T} \times (0, 0, 1)^{T} = (- 1, - 1, 0)^{T}

. Taking the remaining cross product gives

(1, 2, 0)^{T} \times (- 1, - 1, 0)^{T} = (0, 0, 1)^{T} .

The order of the two cross products matters because the operation is not associative.

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