If a and b are two vectors such that |a| = 2, |b| = 3 and a.b = 4, find the value of |a × b|. A. √10 B. √20 C. 2 D. 6 Answer: B) √20 Explanation: We know the identity |a × b|² + (a.b)² = |a|²|b|². So, |a × b|² + 16 = (4)(9) = 36. |a × b|² = 20, hence |a × b| = √20.

imo class 12 vector algebra

If a and b are two vectors such that |a| = 2, |b| = 3 and a.b = 4, find the value of |a × b|.

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If a and b are two vectors such that |a| = 2, |b| = 3 and a.b = 4, find the value of |a × b|.

Answer: B) √20

Explanation: We know the identity |a × b|² + (a.b)² = |a|²|b|². So, |a × b|² + 16 = (4)(9) = 36. |a × b|² = 20, hence |a × b| = √20.

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