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in Vector algebra by (36.3k points)

The volume of the parallelopiped determined by the vectors a, b and c is 5. The volume of the parallelopiped determined the vectors 3(a + b), (b + c) and 2(c + a) is 

(a) 100 

(b) 30 

(c) 24 

(d) 60

1 Answer

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Best answer

Answer is (d) 60

Explanation:

Given, [a b c] = 5

Now, [3(a + b)(b + c) 2(c + a)]

= 6 [(a + b)(b + c)(c + a)]

= 6 × 2[a b c]

= 60

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