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Volume of a parallelepiped with edges a, b, c is
Aa · b · c
B|[a b c]|
C|a + b + c|
D(1/6)|[a b c]|
Answer & Solution
Correct answer: B. |[a b c]|
1. The scalar triple product [a b c] = a · (b × c) gives a signed volume.
2. Volume of the parallelepiped is the absolute value of this triple product.
3. Hence the answer is |[a b c]|.
_Source: Maharashtra Balbharati Std XII Mathematics Part 1, Ch 5 "Vectors" §5.6_
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