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Area of the parallelogram having adjacent sides a and b is
A|a × b|
Ba · b
C|a + b|
D|a| + |b|
Answer & Solution
Correct answer: A. |a × b|
1. The area of a parallelogram = base × height.
2. With sides a and b at angle θ: area = |a| × (|b| sin θ).
3. This is precisely |a × b|.
_Source: Maharashtra Balbharati Std XII Mathematics Part 1, Ch 5 "Vectors" §5.5_
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