 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2013/paper-2/1/a/solution

The two dot products are

a \cdot b = 2 - 1 - 6 = - 5

and

b \cdot c = - 1 - 3 = - 4

. Therefore

(a \cdot b) c + a (b \cdot c) = - 5 (0, 1, - 1) - 4 (1, 1, - 2) = (- 4, - 9, 13) .

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