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The valume of the parallelopiped whose c...

The valume of the parallelopiped whose coterminous edges are `hati-hatj+hatk,2hati-4hatj+5hatk and 3hati-5hatj+2hatk`, is

A

4 cu units

B

3 cu units

C

2 cu units

D

8 cu units

Text Solution

Verified by Experts

The correct Answer is:
D
Let `a= hati-hatj+hatk`
`b= 2hati-4hatj+5hatk`
and `c=3hati-5hatj+2hatk`
`:.` Volume of paralellopiped,
`V=[abc]=|{:(1,-1,1),(2,-4,5),(3,-5,2):}|`
`=17-11+2=8` cu unit
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