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The magnitude of the cross product a × b equals
A|a||b| cos θ
B|a||b| sin θ
C|a| + |b|
D|a||b| tan θ
Answer & Solution
Correct answer: B. |a||b| sin θ
1. By definition |a × b| = |a||b| sin θ where θ is the angle between them.
2. The product is zero when θ = 0 or π (parallel vectors).
3. It is maximum when θ = π/2.
_Source: Maharashtra Balbharati Std XII Mathematics Part 1, Ch 5 "Vectors" §5.5_
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