If a, b, c are three vectors such that [a b c] = 5, find the value of the scalar triple product [a+b b+c c+a]. A. 5 B. 10 C. 15 D. 20 Answer: B) 10 Explanation: The identity [a+b b+c c+a] = 2[a b c] holds for any three vectors. Therefore, 2 × 5 = 10.

imo class 12 vector algebra

If a, b, c are three vectors such that [a b c] = 5, find the value of the scalar triple product [a+b b+c c+a].

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If a, b, c are three vectors such that [a b c] = 5, find the value of the scalar triple product [a+b b+c c+a].

Answer: B) 10

Explanation: The identity [a+b b+c c+a] = 2[a b c] holds for any three vectors. Therefore, 2 × 5 = 10.

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