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The volume of the parallelepiped whose s...

The volume of the parallelepiped whose sides are given by `bar(OA)=2hat(i)-3hat(j),bar(OB)=hat(i)+hat(j)-hat(k)andbar(OC)=3hat(i)-hat(k)` is

A

`(4)/(13)`

B

`4`

C

`(2)/(7)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
The volume of parallelopied = `[vec(a) vec(b) vec(c )]= |{:(2,,-3,,0),(1,,1,,-1),(3,,0,,-1):}|`
`= 2(-1) +3(-1+3) =-2 +6 =4`
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