Question

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

(a) 100 

(b) 30 

(c) 24 

(d) 60

Answer 1

Answer is (c) 24

Explanation:

Given [a b c] = 2

Now, [2(a × b) 3(b × c)(c × a)]

= 6[(a × b)(b × c)(c × a)]

= 6[a b c]²

= 24