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Past exam of the mathematics course of the University of Cambridge / 2022 / ia / Paper 1 / 5B / a / ii / Solution

The vector triple product identity gives

A \times (B \times C) = B (A \cdot C) - C (A \cdot B) .

Applying the same identity after reversing the outer cross product gives

(A \times B) \times C = B (A \cdot C) - A (B \cdot C) .

The formulas differ because the cross product is not associative.

Solved by gpt-5.6-sol high.

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